I have stayed in studio, one-bedroom, and two-bedroom villas many times. The answer to your question depends on which type of villa you have reserved.
The studio rooms have a dorm-sized refrigerator (read more about this
HERE) with a freezer large enough to hold approximately one box of waffles. There is also a small microwave oven, toaster, and coffee maker. There is no cooktop in the studio villas.
The one, two, and three-bedroom villas have full kitchens, like you might find in an apartment. The refrigerator is as tall as an adult, with a real freezer on top. There is a cooktop, oven, microwave, toaster, coffee maker, washer/dryer, and a full supply of cooking tools and dishes. You can find a list of the contents of the villa rooms
HERE.
Have a wonderful trip to Walt Disney World!