Hi, there are bars here and if you're with someone you'll be ok - wouldn't suggest going on your own just because I wouldn't want to and i'm here in Doha, been here for about 5 months now, and single.
But its a nice enough place, would recommend you get a car and drive here though, my first two weeks were awful and I put that down to being without a motor and not able to easily get myself out/about.
All the best.