To be fair, *all* chemistry (and so all biological processes) is governed by quantum effects - it's just that it can be described / predicted by 'classical' chemistry, much the way Newtonian physics is a subset of Einsteinian, and classical geometry is a subset of curved space.
As someone just learning chemistry, I found quantum physics quite helpful in understanding (and remembering) things like the different kinds of bonding, why metals can pass electrons.