Exactly. Havrest in July, save seed garlic in cooler to stratify until October when they get planted and in spring they will pop.

Ah, these did not grow very big. I didn't chill and they've sprouted, should I plant like this or break into cloves?

Check and see if they are multiple cloves or just one. I try to break all cloves apart for planting and I had an entire variety that had sprouted roots. Probably best to plant them a bit deeper so the tip of the shoot is just under soil level, then cover with straw, needles, etc for winter which should keep those shoots okay.