I think many grocery stores maybe open especially the smaller independent grocers but the chain store will be hard to find any open. You can check the websites of your local grocery stores to see if there are any updates on whether they will open.
Check your store's website or call them. Unless you buy groceries at a Super WalMart, there's no guarantee that it will be open. Small stores, especially, like to give their employees the day off to be with family.