I will talk about some basic definitions and facts about real Enriques surfaces. Then I will introduce an equivariant version of Donaldson's trick, used in deformation classification, that relates real Enriques surfaces and real rational surfaces. I will roughly state the result about the monodromy groups of real Enriques surfaces of hyperbolic type and (if time permits) show on a few deformation classes how the monodromy groups are found.