Woah, something I actually read in my one year of college for philosophy.
Now remember folks, this here is pure conjecture.
I would say that Socrates, or Socrates as shown through Plato, don't put much stock into free will based off that Utopia they(?) came up with. I think they more or less viewed it as a thing people just irrationally do, which honestly is fairly accurate.
I mean, if you look at that class schema that they wanted to implement, it was pretty bad, in terms of what you were allowed and not allowed to do, in the light of free will that is. You would be bred for certain roles in society, and you were demoted, or promoted where necessary. If you started to show certain qualities, they would pick your job for you. Families would be abolished and replaced with the community. Socrates was probably one of the first advocates of Eugenics.
And of course the Philosophers would be the main decision makers.
I mean, his utopia works on a community level, but not on an individual level.
Socrates didn't care much for the emotional side of people in general. I forget the exact wording, but he pretty much totally disregarded any conclusion one made with their physical senses, stating that they aren't nearly as trustworthy as your own mind, or at least his mind.
So with all this conjecture, I would say he didn't care for it much.
Edit: So with this conjecture I would say he at least respected it, but thought it was more of a nuisance. Or he thought it wasn't true free will if they weren't exercising their logic and reason to decide what they wanted to do.
Also if I got anything wrong, please let me know, and I will change the error of my ways. I mean, it has been a few years since I read Plato's writings in general.
Lastly, This is just one topic. I'm not totally riffing on Socrates here, only his view on utopia.