We meet Thursdays, 6:30pm - 10:30pm at:
 
Starbucks at the Streets of Woodfield
601 North Martingale Road
Schaumburg IL, 60173 map

It's free, but please bring a go-board and stones if you have them!

What is Go? Look here for an introduction.

I highly recommend Igowin if you'd like to practice the basics at home on your computer. The help feature also has a nice introduction to the rules.