You will have all the cooking utensils you need - pots, pans, cutlery, spatula, baking sheet, place settings with bowls, plates, etc.
Take all the dry food you think you can eat like snack foods, cereal and such. There are basics sold in the BC gift shop like milk, eggs, juice. Or if you are renting a car (or being picked up by a towncar service) you can stop at the grocery store on the way in.
We drove in and made a grocery run after checking in. We bought sandwich makings, chicken thighs, dry pasta, ground beef, hotdogs, a frozen pizza, fruit and salad mixes. Be sure to buy or take your favorite spices to cook with. One night we had grilled chicken with pasta, another night was pizza, and another was spaghetti. We actually overbought food because we did eat in the parks more than we intended. It was just so convenient to stay in the parks during the fall with fewer park hours.
Enjoy your stay. After staying in a villa, you will never want to stay anywhere that doesn't have those amenities!
Oh - BTW - you will be supplied with a small package of dishwashing soap and laundry soap. If you plan on eating in quite a bit, or doing more than a couple loads of laundy then take more with you.