No: the Gracia district is not the same as the Passeig de Gràcia avenue. They’re not even in the same area! Passeig de Gracia (which has its own tag in this blog) was the old ROAD that took you to Gracia. So you’ll find Gracia, one of the most liveliest non-touristy neighborhoods of Barcelona, right at the end of the main street. It’s a wonderful area to walk around with nothing special to do: seating in one of its plazas, maybe being testimonial of one of the multiple festivals they celebrate, and breathing it its spirit that reminds you of a little village. There are two Gaudi sites in the area (Park Guell and Casa Vicens), but they are far enough from its heart so tourists don’t get to spoil it.