You more-or-less have the right idea. The only cures are mass ( reflects sound ) and absorption. Plasterboard will give you mass, rockwool or similar will give absorption as well. The idea suggested of two layers of plasterboard seems good as well, with absorbing rockwool between. One thing, avoid gaps, sound will disproportionately squeeze through gaps, so you need to find a way to seal the plasterboard around the edges of the room. The thing is, if you fix the plasterboard rigidly to the vertical walls, some sound waves will couple with that way too. Beware of fixing the plasterboard rigidly to any ceiling supports either, as some similar coupling will also occur. Perhaps you could resiliently couple the plaster board to anchors in the ceiling somehow, i.e. rubber loops, or maybe have the anchors/brackets poke through the plasterboard, so a resilient mount could support the plasterboard from underneath. Sorry if this is not the practical advice you're after, but I hear that poorly designed sound attenuation systems produce poor results so it's the little details you have to look out for.
Andy.