If the car is "already in your name" as you say, its a lot different. To have it in your name in another state, you'd have to hold a licence there (and have lived there whilst holding that licence). Then the transfer is more paperwork than anything (a few friends who have moved from interstate have just done the paperwork style transfer, no inspection or anything)
But having a guess you're probably talking about purchasing a car rego'd in QLD.....its gonna be an ID check. If they see anything needing more attention, you'll get sent round the corner for a full inspection