Yes, perhaps I wasn't clear; you still need people in the bakery - or a bakery - to make the bread, assuming you want people to eat. So, the best people to do it are those with experience as bakers. There seems no reason why in short term you wouldn't use the existing means of production, and the existing skilled people. Obviously the ownership changes.
Your last clause, is the kicker, just as it is now in Western Democracies, the State is supposed to be "the people" here now too, but in both cases it instead appears to be some small cadre of an in-group instead. However, none of that seems particularly pertinent to whether you keep using a bakery and the bakers you have when you transition from private to collective ownership.
Consider an example, Woolworths - a general store in UK and elsewhere - collapsed and in some locations the workers bought it for themselves to run as a collective. The same people did the same jobs, largely, immediately after the change just that the profits [and liabilities] were shared amongst them instead of belonging only to the owners.
