To anyone new to beers, I would highly recommend going to the GNR
Bad Apple, sit at the bar and order one of their awesome burgers, then talk to the bar tender about what you do or don't like about the taste of beer.
They are very knowledgeable and would be more than happy to give you sample tastes of any of their 30 taps, and/or put together a flight. Tastes are usually free for the cheaper beers or $1 for 1oz for the more expensive ones. The $1/1oz is listed on the menu. If it doesn't say $1/1oz, I believe they'll just give you a taste free. Weekends can get pretty busy at peak times, so I'd recommend picking a weekday either a little before or after dinner hours and you'll get a lot of attention from the staff.
Best of luck exploring your new interest in beer!
Part of the secret of a success in life is to eat what you like and let the food fight it out inside.
-Mark Twain