Dar um corte no cabelo: We would say "To get a haircut" if you will receive the cut. If you are the hair cutter, you give the haircut.
Fazer uma escova: To get one's hair blow dried and styled, usually with a round brush and a blow dryer.
Hidratar o o cabelo: To moisturize or condition the hair? (not sure about the word 'hidrataro')
Tirar a sobrancelha: To have one`s eyebrows plucked. Plucking means removing the hair of the eyebrow. This can be done with a tweasers. Eyebrows can be trimmed or shaped, as well.
Depilação: To depilate - to have facial hair removed, or leg hair removed, or the bikini line hair removed. There are several treatments, you can use chemical depilatory products such as Nair, you can have your legs waxed, or have laser hair removal treatment.