Does Pokemon Go have same points as Ingress?

Yes

The portals from Ingress and the Pokestops and gyms from Pokémon Go are at the same locations.

However, they do seem to have a limitation on the density of portals. Common areas that had dozens of portals in a single location on Ingress have had their numbers reduced so they are more spread out. There seems to be a minimum distance between portals/centers, but I don't have an exact value.

Shout out to @sterno for mentioning and confirming the portal reduction.

Source:

I just started playing Pokémon Go (as did everyone else) but I have been playing ingress for over a month and am level 8. All of my regular portals have become Pokestops and Gyms. I have noticed that the Portals that are "Mission Portals" seem to have become Gyms. I have no yet had the chance to check some of my normal farms to see if EVERY portal has been used, but I will be checking tonight and hopefully remember to update this post :)