I'm curious, why beer? I love beer and its many varieties, but not liking it seems like an overall win. It's awful for your body, we (Americans at least) tend to consume way too much of it at a time, and if your aim is to get drunk there are far more effective ways to accomplish it.
It's ubiquitous, cheap, many places only carry it and wine, and all your friends love it, plus craft beer is huge now. Being the weirdo that won't drink it isn't really fun.
As a huge craft beer fan, not to push anyone toward alcohol, but I feel like I need to point out there are many styles and strengths of beer to match a variety of tastes. Of course, then it’s no longer cheap.
If you do want to give it a try, most craft brew pubs will sell a “flight” for tasting several possibilities, that may be a good introduction, and the bartender can try to match your tastes with appropriate styles.
Although I do second the guy saying not liking beer is a good problem to have, for both your health and wallet