Here is a book I recommend for someone getting into archery.
http://www.amazon.com/dp/0736055428/?tag=bcusa-20
It's an illustrated guide that can take you from beginner to tournament level shooting.
Covers target archery, and other practical things like bow fishing.
I like recurve bows for their simplicity. Less stuff to break on them. Compound bows can deliver a lot of power, and can compensate for lack of skill with gadgets you can bolt on them.
One warning, you will use muscles you didn't know you had when you first get into drawing a bow. The above book also gives you stretching and workout plans to build flexibility and strength in those muscles.
That bow set Gav linked above is nice. If you are low on cash, you can pick up a cheap no frills recurve at wal-mart for like $30 bucks that is good enough for hunting small game, and you can still hit a man size target at 100 yards with practice.
PS. I suggest picking up something like a 30# pull recurve to learn with, as it will be an easy draw. When you get your muscles built up, and become more proficient, you can move up to a better, higher weight bow. Remember one thing also. When buying arrows, consult with someone to make sure you get arrows that are the right weight for the bow.. To light and they will fishtail all over. Too heavy and they fly like lead.