Intro to commands:

flexibility and extensibility of the command line. Not limited to GUI, can think outside the boxes with their what-you-see-is-all-you-get.
$ is shell's default prompt. Customizable by user (PS1 shell variable). > is secondary prompt (PS2).

Name of command as abbreviation or acronym. Command as a tool, easily combined with other commands e.g. in pipe or script. CLI (command line interface) scales well with experience, rewarding advanced users with greater productivity. CLI: continuous "programming" cmd by cmd. GUIs don't scale.
Every app can be started from the shell.
Bad news: commands are terse and non-interactive. Not known for hand-holding.
Good news: commands are terse and non-interactive
Unix is case sensitive.
pwd      present working directory.  where you're "at"
cd dirname       change present working directory to dirname
cd                change to home directory    
cd -              change to previous directory

ls       directory listing
ls -l      long listing gives more info about files
ls -a      show "dot" files, those that start with .
cat fn      display file 'fn'     
                Output can be paused with ^S, resumed with ^Q (on a
                slow terminal, or fumbled fingers) -n line numbers
more fn         display file 'fn' a page at a time.  
            Also: pg and less, head and tail
lpr fn       print file (or lp). to default printer. image and Postscript too.
rm fn        delete fn.  No recycle trash can.
rm f1 f2        delete f1 and f2
cp oldf newf     make a copy of oldf as newf
cp f1 f2 f3 dirname     copy f1, f2 and f3 to directory dirname
cp f1 .                 copy file to this directory

mv oldf targetf  move/rename oldf as targetf
mv oldf dir          move file into another directory
mv dir1 dir2         rename directory or move directory to be a subdirectory of another
mkdir dirname    make a directory
rmdir dirname    delete a directory (must be empty first)

wc fn            number of chars (bytes), "words", lines in fn -L longest line
sort fn          sort fn
grep word fn     search for word in fn

od -c fn         display ASCII chars of fn
file fn          what kind of file, e.g. C source code, executable
                 file, text file, shell script...
locate string         show all files in system that have string as part of name
find -name fn        search for file(s) in disk tree
who          who is logged on, on which terminals, doing what...
ps               what processes you have running in this shell.  Also, others'
                 processes  -e or -u user
ps ux                   all your processes in system, including x not
                           associated with this shell
ps aux                  all processes in system

kill pid     terminate a process
diff f1 f2       differences between f1 and f2
mail         send/receive mail:  Also mailx, elm, pine, mutt, GUI mailers etc.
vi           text editor
emacs        text editor. 
      Other editors: joe, jed, pico, xedit, kedit, gedit, kate (source code aware), kwrite
      Word processors: kword, abiword, wordperfect, openoffice writer
mdir a:             mtools to access FAT diskette
mcopy -t fil1 a:    copy file to floppy
mcopy -t a:fil2     copy from floppy
gcc prog1.c       C compiler.   executable in a.out
g++ prog1.cpp     C++ compiler
javac Hello.java  Java compiler
java Hello        JVM
php, perl, awk, python, ruby, f77 compilers/interpreters
File manager/browser: mc, nautilus, konqueror

For more information on a command, in particular the options, use the man command:. Note: man pages are not meant to be drool-proof.
$ man grep
Each man entry is roughly:
Name
Synopsis
Description (of options)
other misc. info, e.g. files used, bugs, authors, cross-references

[compressed troff/gnroff file in /usr/share/man/manN, uncompressed and formatted /var/cache/man/catN compressed text]

$ apropos string # search all the synopses for cmds with the string
$ whatis word

Unix Programmer's Manual (about 6 feet wide) had descriptions of how to use the utilities.

-h or --help option
bash help on its built-in commands

GNU info documentation on utilities /usr/info

HOWTOs and FAQs: /usr/share/doc
Linux Documentation Project: linuxdoc.org
comp.os.Linux newsgroup
www.ssc.com/lg Linux Journal
Linux Magazine
Major utilities and distros have their own web sites: samba, apache, gimp, perl, sendmail, xfree86, gnu, gnome, kde, openoffice, applix, etc.
sourceforge.net has tons of the smaller open source projects.
Linux related web sites: end with .com or .org:
starting with "linux" or "li":
today mall links base now central app -center world

***************************************
Commands.
"Command" could be: program file (machine language compiled or a script), shell built-in command (statement), shell function, alias (whence -v or type to distinguish).
which cmdname to see if in system (actually, if in path)
whereis cmd tells where it and its man page is.
command format:
Consist of sequence of 'words' separated by white space (blanks and tabs).
A command can be one word: e.g.

    date
    who
    ls

A command can be more than one word. The second and all other words are arguments to the command: e.g.
  ls -l
  cp fromfile tofile
  grep word filename
  who am i
  nxterm -geometry 85x30+0+0 -fn 9x15bold -fg white -bg black -cr red &

Most commands look like:
cmd [options] [one or more filename(s) or words]

Not all commands have options and/or filenames. eg. date has no filename arguments, pwd has no options or filename arguments.
Options (flags, switches) usually specified by minus sign (sometimes +) and letter:
  ls -l
  ls -t
  ls -l -t
  ls -lt

more +500 fn start at line 500 of file

Some options followed by argument for that option:

  lpr -Pprinter4 fn

Each option meaningful only to the command:
 rm -i          interactively delete
 grep -i            ignore case in search

GNU commands also have "long" options: --
ls --color
easier to remember, easier to read in script, ran out of letters

System admin:

edit text configuration files, often heavily commented, e.g. /etc/passwd /etc/httpd/conf/httpd.conf
commands, e.g. adduser
GUI, e.g. system-config-users