After the wedding, if you speak with your new spouse, you can determine where they will live.
Once you have found an NPC who also wishes to be married, and whose disposition towards you is high enough, you can gain their consent to marry you and then attend the wedding ceremony at the Temple of Mara. To do so, you must complete the quest The Bonds of Matrimonywhich involves speaking with Maramal about marriage and wearing an Amulet of Mara which signifies that you are available to be married.
In Skyrimyou have the option of marrying an NPCregardless of race or gender.