Yes, the plural is "breezes, and would be described by "many."
"Much" would be used to describe the uncountable noun. However, it's a bit uncommon, because when the breeze becomes "much," we usually call it "wind."
"a gentle breeze" (countable) "The wind is ferocious!" (uncountable) "During April, we usually have many gentle breezes." (countable) "The breeze start