Unless you have fully automated luxury anarchism you have people working and for a lot of things working in a team is just the way to go. So yes most realistic societies will have Monday. Shitty work has to be done and as you are just not going to be able to have all tasks done by somebody who likes doing them.

That being said without capitalism we can rethink how we use the machines we have and just produce less. We are already able to produce more then enough to give a good life for everybody on the planet. For rich countries halving the workweek is already entirely possible with easily meeting everyone’s basic needs rather well. You have to reduce a lot of waste though, like most cars, packaging, flying and so forth.

Also people will probably go to some kind of education. So that is not going to go away. Any society needs skilled people and they need to be taught somehow. So some kind of school would have to be around.