They will just continue to be the Bloc. The Liberals may work with them if they have to, but mostly the Bloc are just going to be there, fighting for Quebec and little else.
The handful of NDP MPs will probably work with Carney, which will lightly press him towards the left in a way that is probably generally for the best. They aren't going to want to push for another election and they are going to take their time giving him a hard time. Their leader stepped down last night. The minority margin is extremely slim. The Liberals remain in power.
It'll be interesting to see what Pollievre does, though. He says he's not stepping down. But he lost a seat he's held for two decades. Knives may come out. But they may not! The Conservatives did very well last night. It's just that they were expected to do much, much better.