Il parrucchiere (male)
La parrucchiera (female)
The question "Barbiere/Barbiera" requires, in my view, a more extensive treatment...
I always heard only the male version "Barbiere" and never (really never) the female version "Barbiera". This is for a reason quite practical: the "Barbiere" is the one who cuts the beard to men (and, more extensively, the hair) but does not, of course, to women. It's a professionalism originates from the male needs to shave. I don't think there are women who do the "Barbiera", instead there are women who cut hair to men (and vice versa).
Ps. Sorry for my poor english!
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