Yes, that is the real site. No, it ceased operation in 1990 and is no longer in use. The original complex is now a museum. A newer, modern prison has been built behind it on the same grounds.@Streeper541 : Is that the actual one used in the film? Is it still in use?
I didn't visit today, but was working down the street so took a break there. I was however fortunate enough to get a special tour once from a close friend who happened to be incarcerated there back in the 80's.