Here’s what works in 07’s, 08’s and possibly 09’s.
http://singletrackworld.com/forum/topic/which-headset-for-gt-avalanche-integrated-i-think
If in any more doubt take a photo of whats in there now (or just the headtube) and let us know.
Otherwise, try this:
http://www.canecreek.com/headset-fit-finder
It lists most GTs and you can get the dimensions to then go buy something other than CC if you want to save a few bob.
#Edit – forgot to say its an easyish diy job. Screwdriver and hammer to remove. The usual press fit for the new one. Note that if its still on its original (really low quality) HS once you tap it – balls are likey to fly everywhere. ime.
Great bike btw. Enjoy!. I still have mine.