Do people use horse and buggy now?

Yes. There are some religions, like the Amish, that don't use technology, and still do things the old fashioned way. There are also horse shows that have a horse pulling a buggy. Also, there are horse and buggys for rent, for whatever you want, like weddings, etc. And some people just enjoy riding in a buggy drawn by a horse, so they do it for pleasure.

While it is no where near as common as it used to be, there are still quite a few horse and buggys still to be found.