There is no longer Mass offered anywhere on WDW property, with the exception of Christmas and maybe Easter. You'll have to go off property to Mary Queen of the Universe Shrine. There is no WDW transportation there, you'll have to arrange private transport. Here is the website for the Shrine.
When we went last year, Mears had a shuttle service going to the 9:30 Sunday Mass. It was a very small fee if I remember correctly. We ended up taking a taxi since we wanted to go to the 7:30 Mass. It was about $20 each way and there were tons of taxis pulling up to the shrine after Mass so the transportation issue was fairly easy.
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