So if unbelievers go directly to hell when they die does Jesus take them out of hell and then put them back in hell at the judgement? And if the saved go directly to heaven does Jesus take them out of heaven and then declare that they can go back to heaven?
Catholics believe we are judged immediately after we die (Particular Judgement). Some of us will go to heaven. Then there is still the Last Judgement (or Final Judgement).
Two important things will happen to us at the last judgment that were not already done at our particular judgment. First, although our souls will already have gone to heaven (possibly via purgatory) or to hell, at the last judgment our bodies will be reunited with our souls, to join in their joy or suffering. Second, the last judgment will be public, seen and understood by the whole world, whereas our particular judgment was private, just between God and ourselves. At the last judgment, everyone will see how each of us has cooperated or failed to cooperate with the graces God has given us. Both God's mercy and His justice will be visible to all, and even those who, in this life, worry about how a good God can condemn anyone to hell forever will see that those condemnations are entirely appropriate.
This is as close as I can get. I do not have a degree in theology only ministry which is quite different.