Introductions 

Here are some videos giving you an introduction to Ableton Live. They cover most of the basic of getting around the program as well as some tips to get you on your way to using Live the way you want to.
1 Intro To Session View Part 1
2 Intro To Session View Part 2
3 Intro To The Mixer
4 Live 7-The Basics 101
5 Make music with Ableton Live
6 Thinking In Scenes
7 Tom Cosm on Live Electronic Music - Part 1
8 Tom Cosm on Live Electronic Music - Part 2
9 Tom Cosm on Live Electronic Music - Part 3
10 Tom Cosm on Live Electronic Music - Part 4
11 Tom Cosm on Live Electronic Music - Part 5
12 What's New in Ableton Live 8