A true "anarchy" would probably look differently than anarcho-capitalists imagine, but it wouldn't be entirely "social" without hierarchies either. The truth would be somewhere inbetween I imagine, resembling syndicalism. There'd be free entrepreneurs (for the individualists) and independent worker co-ops.
Big "capitalist" "exploitative" factories would be impossible. Historically, workers went on strike, mutiny, and would take over the means of production. But it was always the legislation and police provided by the state that protected bosses in those scenarios. Economically speaking, this protection service has always been very cheap in a capitalist-corporatist system.
And if the "police" was private, well the "police" consists of "workers" too.
So if many places are organized more co-operatively, bosses would have a hard time to find cheap workforce.
Again, Mondragón is a good example of how things would look like.
http://www.youtube.com/watch?v=-obHJfTaQvwThere are technical hierarchies of course, and although they're largely organized co-operatively, there'd also be competition. All co-ops would have to keep up with the state of technology.
I've also long thought about the nature of "money" and I believe the misunderstanding and obsession about money comes from the monopoly of money that today is provided through the central banks. In a free world, there'd be probably a rich eco-system of different value systems (PMs, local currencies, crypto-currencies, reputation systems, "promises" and tokens issued by producers of goods and services, etc). And this will stop people from counting everything in USDs or the like in their minds, and they will realize that "value" can also be very personal things that you can't count.