Yes, you can get married, just don't get too excited about the prospect. There is no such thing as courtship. Finding an available partner consists of wearing an "I'm Available", Amulet of Mara by completing a marriage related quest or by possibly finding this Amulet. Some perspective partners will require you to do them a favor. Others if you talk to them, notice the Amulet and are ready to get hitches on a moments notice. Afterwards, what you get is possibly a free house to live in (depending on the individual), a free meal, possibly some additional income (they give you money), and the benefit of of extra beneficial rest by sleeping in close proximity to them, although being able to sleep with them (lay in the same bed, no marital activities allowed) is a question to me. I tried marriage to one of the prettiest female characters in the game, was disappointed, and reverted to a previous save. Check out this blog entry if you want to read about it. I may eventually get married after the main quest is complete- Huntn.