Oversimplified for brevity, but basically: You may not be able to OWN a farm in the sense that the land itself is collectivized (not even always true under socialism, depends on specific policies and also whether you consider the "farm" to be a different entity from the land it's sitting on, in that case you often own the farm itself, just look at home ownership rates in socialist countries), but you can USE and WORK ON the farm to generate products for yourself and society at large. I don't see it as that different practically from the perspective of the farmer, since they're still living on the land and taking advantage of its productivity.

I think that's certainly better than renting or mortgaging the land and having to deal with landlords and banks. Collectivization usually freed farmers from their obligation to their landlord or private bank and they just continued farming as normal. It's the landlords who had their "livelihood" taken away (i.e. land that they owned but someone else was living and working on), not the farmers doing the actual work.