I would recommend either find a brewpub near you that serves tasters and get a nice line up of 10-12 tasters or get a mixed 12 pack from some brewery such as Sam Adams (should be able to find everywhere), Boulevard, New Belgium, etc. Just try a bunch of different styles and find out what you like. Also, pour your beer into a glass if you actually want to taste it. Scent is a huge part of beer.
HOWEVER, most people find a nice wheat such as Boulevard Wheat, New Belgium Sunshine or Blue Moon to be a pretty nice "gate-way" beer. Other than that, Stouts/Porters if you want something dark and roasty, Pale Ales/India Pale Ales (IPAs) if you want to learn what hops are all about. Just go try a random assortment and report back!