...P. viridis is monoecious, that is it has both male and female reproductive structures in each flower, so any viridis can pollinate any other. (Whether they are self-sterile I have not yet determined, but it would be easy enough to find out.)
It seems the native distintion of male/female has more to do with an idea of strong/weak or dominant/submissive than any biological idea of differential gamete production (sperm vs ova).
Some recent chemical analyses of a small group of P. viridis might shed some light on the subject. My collection of viridis has plants of two distinct types. One has broader leaves that tend to form those little projections on the midrib under the leaves. (Botanically these are variously referred to as dolmatia or folveolae. Some people call them espinas.They are thought to provide shelter for tiny mites. What the mites do for the plant and how the plant would benefit from housing them I have no idea.) I'm thinking these would be the 'males' according to Peter's description.
The other type has narrower leaves, also typically a darker, more emerald green color, which don't form dolmatia that would correspond to being 'female'.
Recent GC/MS and HPLC analysis of these plants showed higher light concentrations on the broad leaved 'males', ranging from about 0.33% to 0.52% (Don't quote me on that I'll have to check my notes. This is just off the top of my head.) The narrow leaved 'females' had lower concentrations from 0.2% to 0.4%.
There are other more subtle morphological differences between the two types, especially regarding berry shape and development...