You will get better results with bulbs from the GC the ones in the supermarket may well have been treated to prevent sprouting.

Agree with moon Growe but I have not had issues with organic supermarket garlic - it grow like mad.

Oddly enough I found some organic supermarket garlic that had been sitting in the veggie rack for a while... not a sign of a sprout which makes me wonder if it really was organic!

I have frequently planted supermarket cloves that have sprouted. They have always been strong growers and produced average cloves but with strong flavour. If in doubt, do some of each, then next year you can choose your preference on flavour.