GDP can be increased through both government spending and printing new money. So, naturally, once lockdowns end we'll see a big rebound in GDP. But that doesn't tell us if the private sector is actually better off.
The Fed and other central banks are entering into a huge money-printing experiment in hopes of keeping the government-spending machine going at full speed forever. The unintended consequences will be highly destructive.
Eurocrats might be able to get tables in their favoured restaurants more easily while national governments take it on the chin. But this is a temporary situation which could easily evolve into a threat against the union.