Hit me up for a game on KGS if you see me, I'm 'theTick' there. Haven't been playing much lately, just watching games on my lunch hour. I'm more than happy to teach anyone beginner -> ~10k there if you ask (I'm around 3k last I played regular).
Computers can beat the best pro chess player, but an amateur who has seriously studied more than a year or so can beat the best go programs (although some recent ones are getting stronger). Go has a really good handicap system that allows you to play people 9 ranks stronger or weaker than you ( big range) and still have an interesting game for both players. A 5 year old can learn how to play the game in 20 minutes ( I've taught several, none of them took more than 30 minutes to grasp the entire rule set ), but go masters who have studied their whole life still feel there is more to learn.
@Artemis - There really is no comparison to chess, so just stop that.. ;P
@Sal - There really is no comparison to chess, if you suck at chess you will probably be fantastic at go.
@brad4419 - I know what you mean about go feeling relaxing, one of it's nick names is 'hand talk'. It always feels like a friendly conversation to me.
@ummaya - the kim series is pretty good you will learn a lot of good habits there, but I would caution against playing too much against the computer. The general wisdom is at the lower levels (beginning -> 15k or so) playing other people and studying go problems like http://www.goproblems.com
half and half is most productive. The saying is 'get the first 50 games out of the way as soon as possible'. Get a KGS account and join the teaching ladder and beginner rooms and ask stronger players to teach you. 'Practice makes habit, not perfect' so make sure you practice in the best way possible.