I can tell just by the photo that that is a Green frog (Rana Clamitan), not a Bullfrog (Rana Catesbeiana) because of the coloration, ridges down his back, and the color and shape of its snout. His large Eardrum (Typanum) also suggests he is a male but I cannot be sure from this angle.
Their care is extremely similar if not the same as that of an American Bullfrog (Rana Catesbeiana) or a Northern Leopard Frog (Rana Pipiens). Here's a good caresheet for him:
Frog Forum - Leopard Frog Care - Rana pipiens (Schreber, 1782) and R. sphenocephala (1886)
As for your question, I'm not sure whether he is native to your area or not but I do know that Green Frogs are Native to certain areas of North America, so it is very likely he is Native to yours. However, we'll need to do some research on that.
You could keep him if you want, but you'd need at least a 30 Gallon tank for him, preferably a 55 Gallon. I would go with a half land half water setup (with dechlorinated water and a strong filter), and I would try to make it look like the edge of a pond, using medium sized smooth pond stones (too large to be eaten) for substrate. Having an Aquarium Background on the back, preferably of a Forest or Pond, would reduce stress and make him feel more at home.
However, if you want to release him, I'd make sure he is not an Invasive species first, and keep in mind that frogs never lose their hunting instinct, so if you've kept him in captivity for an extended period of time, it will not affect his changes of survival greatly. Of course, he may have contracted something in captivity and thus I lean on the side of keeping the frog, but the choice is entirely yours.
Hope everything turns out well, and keep us updated.