Yes, French lavender, L. dentata as Janine said, identifiable by the toothed (dentata) leaves. Not an annual, but one of the least hardy species. L. angustifolia, English lavender, is hardier and the species most often used culinarily.
Btw, in another thread you asked about herbs for teas. I blend lavender, catnip/catmint, Melissa (lemon balm) and lemongrass for an excellent sleep-inducing brew.
https://vermontlavender.com/pa...
