Socialism is the stage previous to communism when there's a State in which the proletariat is in power, the purpose of the State is to use its repressive forces by one class over the other to oppress them and keep them in place, capitalism (also called the dictatorship of the bourgeoisie) has the bourgeois as its ruling class and oppresses the proletariat, socialism (also called the dictatorship of the proletariat) utilizes the State to oppress the bourgeoisie until global socialism is achieved, on that point on class society is abolished and the State is dissolved. This late stage is what we call communism.
It's not, never once has communism worked, not has socialism ever worked. They all end up being dictatorships and the same capitalist problems for the others. Only difference is there is barely any social climb in a dictatorship except at the beginning.
Claiming socialism had "barely any social climb except at the beginning" unlike capitalism is not something that you can do while maintaining any shred of honesty. The reality is objectively the complete opposite. While there are plenty of valid criticisms of the USSR, access to education was not segregated by wealth, top universities were open to all who knew their shit, and throughout its entire history party leaders tended to come from humble backgrounds.
Access to education is not segregated by wealth either. Coming from a blue collar family I'm able to go to a very prestigious and expensive university because I'm smart and recieved plenty of academic scholarships and support I sought out. If you can't get the majority of your college paid for through scholarships you are doing something wrong. Plenty of great, and rich Americans come from humble backgrounds, this point is is applicable to any society. From a cursory search, the only party member that actually had the grass roots humble beginning was Gorbachev, all the others had significant connections from others in the party that propelled them into power.
Hey I am all for socialism, most functioning nations have some high level of socialism in play. The issue here is a full blown case of black and white ism.
Nationalized healthcare, Nationalized oil and gas, Nationalized education, Nationalized utilities, Nationalized violence. All in place in most civilized places. Someone owning a farm is not the issue, its someone owning the place that buys the grain and controls the price.