You can order groceries to be delivered from Albertson's or Vons. There's been a few people lately who said they had problems with Vons, but Albertson's worked very well for us.
You order online; I think you can order up to 2 weeks ahead. You put the hotel's address for delivery, and your own address on the credit card payment. You can order very specific brands, size, amounts... i.e. 2 bananas, 4 apples, one carton blueberry yogurt, 2 cartons strawberry yogurt, etc. If you have a club card for the store, you put in the number and receive the same sale prices as if you were shopping in the store. The cost for Albertson's is $9.95, no minimum order needed. I think Vons might require a $50 minimum. I've seen coupons to waive the delivery fee for first timers, but not lately.
Your hotel will have a dorm-sized fridge. In our room at GCH, we ordered a gallon of milk, a half gallon carton of juice, soymilk, yogurt, a rack of bottled water, fruit, pop tarts, cereal cups-to-go, a roll of paper towels, and a small box of plastic spoons.
The store will deliver within a 1-1/2 hour window of time. If you time it right around your expected arrival for check in, the bell desk will hold it for you. We were worried about the cold stuff, but it was packed very tightly in a cardboard box, and was just fine, even though we were about an hour late because of flight delays.
It would be good to call Guest services at the hotel and let them know you've got groceries coming, and what time.
Hope that helps!