Since there is no fundamental supply issue (at least for items like groceries and toilet paper) this will follow the same curve as other "panic buying" - stores will be pretty barren for about a week or so, then everyone will realize it's not Armageddon and go on normally.

The exact same thing happened a couple years ago WRT gas in Texas. There was no actual shortage, but because of the hurricane there was fear buying that there would be a shortage, so people showed up to gas stations literally filling up garbage cans with gas, and then there was an actual shortage.

If possible, though, I would definitely recommend stocking up on essentials when things get back to normal. I'm not worried about doomsday, just irrational humans clearing out the shelves at the slightest hit of a negative event.