You should probably know what it means.
Here are a few links for you to get to learn about Awesome.

Everything You Need to know about Team Awesome: A Guide
The ONLY written documentation of Everything Team Awesome

The Most Awresome Webcomix in the world. Here, you can keep up with the lives of Team Awesome, and what goes down. (I'm trying to update maybe once a week)
Currently undergoing major Awesome.

If you have any questions, feel free to ask in the forum, or contact one of us Via Gaia. PM, Comment, it doesn't matter.
Dances With Bats
Miss Mighty T
Sir Prize
The Furry One