Gunner,
As an avid waterfowler allow me to answer. Pluck the feathers off of the entire breast area of the bird. Next pull up the skin/fat along the middle of the breasts and make a small shallow incision. Then insert your fingers into the hole and pull the fat toward the outside of the breast until you have exposed the red meat underneath. Next filet out the breast of the bird on each side. I normally start by cutting down along the breast bone and working around from there. You should end up with two large chunks of goose breast.
This is really quite easy once you do it a time or two.
Let me know how it works for you,
Waldo