I think there probably will be something vaguely akin to government in most places, but each community should be able to self-determinate and figure out what that is on their own. I would prefer the state be replaced by decentralized federations of labor unions, which would likely create some democratic system of law, but others would say even that violates individual rights, or that it is too similar to soviet councils and so would become heirarchal, etc.
I don't really agree but I see their point.
My fear is that without some structure social Darwinism and so called anCap bullshit will take over, and then disputes will resolve by whoever has the most guns much like they always have.
In other words?
No one will agree on the answer to that question, and even if we could no one really knows since anarchy has never existed on a large scale in the modern world. We can extrapolate based on anarchist communities, maybe, but a lot of them don't identify as anarchists and it's kind of a colonialist mind-set to assign that label to them ourselves.