According to the NFL, they do, but the decision as to what kind of ring is left to the individual teams.
Article 51 of the CBA states, "Practice Squad players on a Club that wins the Super Bowl at the time of the Super Bowl will be entitled to a ring similar in appearance to the one provided to players on the Active/Inactive List but the Club, in its sole discretion, may provide any Practice Squad player with a ring of lesser value."
So basically they usually get at least a "3-table" ring while the active and inactive players, coaches, trainers, etc., get the "4-table" variety.
"4-table" refers to a ring you can see from four tables away.