Depends on the size and number of punctures, air pressure and volume, how much sealant is in the tire, and maybe some other things.
A buddy rode thru a patch of thorns and spewed sealant everywhere and the tire flatted. It was remedied by pumping the tire back to pressure and slowly rotating the tire.
On my gravel bike with wide tires if I get a prick or few I usually don't even notice it until after the ride (little spots of dried sealant on the tread), the sealant just does its job.
On a road bike with skinny tires and high pressure, you'll probably get a hiss with even a small puncture, and what I would do is roll the puncture to the bottom of the tire and let it do its thing. I suppose you could press a finger on the puncture and wait for it to seal to the same (or greater) effect, but I prefer to not dirty my hands if I can help it.