I know you can get married there. I don't think it is arranged through the WDW wedding dept. My husband surprised me with a vow renewal there on our 10th anniversary last August. We were supposed to have it out on the croquet lawn, but due to rain it was moved indoors to a function room. After the renewal, he had another private function room for us and our family where we had dinner. It was lovely. I think he just called the resort and asked to speak with someone who handles functions, and they took it from there. They arranged for an officiant, a cake, and flowers.
I also remember seeing a binder with wedding info on a table outside of Shutters, one of the on-site restaurants.