I will tell you this, speaking as somebody who hasn't been much of a drinker in his young life himself (I am 23, but didn't start drinking until last year), Think of something you want to try, and try that first.
I had beers before and couldn't get into them, but then I got into mixed drinks, and found those are my favorite types of drinks. After that, I tried a White Russian (I saw The Big Lebowski, that's why) and found them toe-curling (read: hard to enjoy).
Then I moved on to Malibu and Coke, and then Jack and Coke, Rum and Coke, and I found what I enjoy.
My advice: Don't drink all of those in one shot, my learning how to drink phase came over two months and only three or four nights (Nights separated by two or three weeks of not drinking, we don't want you to start a habit), and think of something you want to try.
I thought White Russians would have been my thing, but I cannot stand them (Chai Tea and Vodka, on the other hand, is amazing), but Jack and Coke is my drink of choice, and it took me a while to get to that point, so Pick your poison and then be comfortable to try other things, maybe ask responsible drinkers to suggest drinks for you (A lady friend of mine got me to the Malibu/Jack stuff, and that I certainly wouldn't have got to on my own).