You want to insulate the internal walls? This doesn't do a lot for heat insulation, unless you huddle around an electric heater in one room in the winter. Sound insulation can be vastly improved though, but you'll need to remove the plaster/plasterboard on one side to get to the space between the timber studs. Completely fill the void with rockwool or similar insulation, then new plasterboard back up. Skimmed, or taped and filled at the joins.