I love bows and arrows! My parents got me a compound bow when I was 9 or 10. Definitely get something that does not have much more than 50 lbs. drawback, otherwise it will be difficult for most people to use.
If the bow is for hunting you will need different arrows than if it is primarily for target practice. Oh, and one neat thing you could also get a target. My parents got us a nice big sack one that has lasted us for the past 15 years.