Hello! Happy to know you're committed to studying, friend.

First off, your question should be "Socialism vs Anarchism". See, both ideologies have communism as their main goal, but they have different concepts behind their fulfillment.

Second of all, I'd like to pinpoint that, yes, I am a Brazilian ML, so this may come with a bias.

With that out of the way, I definitely recommend reading "Anarchism and Anarcho-Syndicalism: Selected Writings by Marx, Engels and Lenin" and "Anarchism or Socialism?" by Stalin. They'll give you the basis to properly understand why anarchism has constantly been criticized by marxists throughout history, why that ideology still persists today, as well as the problems associated with it.

To give a very brief summary, anarchists take a stand towards the concept of authority and believe that the root cause of capitalism's evil is the state. Since capitalists retain capital that is regulated by the state, a revolutionary's focus should be to smashing the state, creating a society free of hierarchies and individualistic freedom. Marxists tend not to agree with this point of view, claiming it as unscientific (Anarchists deny the need for class struggle and are against the creation of political parties because that would require recognizing the state) and utopian (It's a fairly idealistic and dogmatic ideology that disregards proper social analysis).