Anarchism can't create a "society", it's just a free for all, I would say it''s
barbarism in its purest form. Most people who say they are anarchists often just want a
reset to start building something new out of the said mess, so they are lying about being it. I have the feeling that many "anarchist" often are associated with an onther ideology, but are just hiding it, using it as a one step out of many to achieve the goal for their cause. I see them as "temporary anarchists" (compare it to
accelerationism).
Some anarchist (the "real ones") are in on the
"free for all moment" part
exclusively, often
hosting forums and channels where everybody can join not matter who you are to say your thing. I think Null mentioned some anarchist was willing to keep KF up on something due to this very belief.
I don't see true anarchism as an ideology to
create or maintain a society (I would say it's about destroying it), I see it more as an belief in "I want a ideological event for other ideologies to duke it out fairly from the ground up, and I want to watch it!".
To answer your question:
How would an anarchist society function?
This "society" would not even exist to begin with.