Charlie's got a complete list of what you'll need, but basically you need:
1. Brewkettle - 5 gal is standard - with lid
2. Submersible thermometer (you can clip a candy thermometer to the side if you angle it away into the wort).
3. Long stirring spoon.
4. Carboy. This can be an old class water bottle and most of them are.
5. Funnel.
6. Strainer that fits the funnel.
7. Tube fitting the top of the carboy that you can put into water for primary fermentation.
8. Vapor lock that fits the carboy for secondary fermentation.
9. Big bucket (5+ gal) that you can sterilize for beer transfer.
10. Chlorine bleach (or iodine - bleach is less messy).
11. Bottles, caps, and a bottle capper.
12. Small-diameter tube for syphoning the beer from the bucket into the bottles.
13. Small muslin bags for the hops.
14. The makin's - malt, yeast, hops.
15. Beer. It is a scientific fact that one makes better beer when drinking beer. It's magic.
I've probably forgotten some stuff such as a saucepan for the priming malt but that ought to get you started. FR homebrewers, pick me up here if I've missed anything critical.
Cheers!
If you use bottles I found a nice attachment for a faucet made out of brass that squirts water upwards at a nice strong stream when your dirty bottle is placed on it. And I like to use 2-liter pop bottles for most of a batch to cut down on work.