Too young? There is no such thing. Or maybe that's just the naive opinion of someone younger than you Brandi. I've been drinking wine to dinner since I was around 15 and I've really started to develop an interest and a taste in the last years (I'm 21 at the moment).
Taste, taste, taste... that is all there is to it. If you enjoy cooking and drinking decent wine you'll be fine. And if you're like me, not too snobby (partly because I live on a parttime salary!) remember that there are definately fine wines to be had for around $10 (at least from my experience, although I'm not quite so sure on the pricing range in the US), and if you're new to that you'll problably be better off trying a few of those than buying something expensive that you might not fully appreciate.