The 2BR (or 1BR) in a DVC villa will have dishwasher detergent. It also will have a sponge, liquid dish soap, and a dishrack if you prefer to wash dishes by hand. If you run out of the dishwasher detergent or liquid dish soap you can ask housekeeping for more.
(You didn't ask but you also can ask housekeeping if you run out of garbage bags -- although there should be more in the bottom of each trash can -- or paper towels, tissues, or toilet paper.)