Getting your bikini line waxed is like getting your hair cut: You have options.
A full Brazilian wax will take away every hair down there, including those in between your butt cheeks. It requires a bit of maneuvering on your part to allow the aesthetician access to everywhere she needs to wax. A modified Brazilian leaves a "landing strip" or small triangle of hair above the vulva.
A simple bikini wax just removes whatever would grow outside your underwear. There are several variation in between a bikini wax and a Brazilian and many aestheticians have different terms for them, so detail exactly what you want.