My recommendation would be: Ubuntu Server. It is not precisely lightweight, but it comes stripped down of most of stuff you'd for sure not use by a start.
You don't have to install daemons if you don't want to (you can just install base system and forget about the LAMP thing). When you get used to the command line, you can proceed with installing xorg and gnome or whatever you like.
Now, it might be easy to do all of this stuff, but don't forget that "installing everything" makes you weak when you have to compile stuff. I'd advice you to have it about 3 months or so, and when you get used to it, move to something more advanced, don't get stuck.