A variation on the "burqa," which is a full body conservative Islamic dress for women who want to hide all their features while outdoors. The burqini is a full body swimsuit which disguises the curves of a woman (especially at the hips and thighs), and also covers the head, but leaves the face exposed. It allows Islamic women to swim a little freer than having the full burqa on in the water.
Guy #1: You've never seen a woman in a burqini?
Guy #2: That doesn't even exist. It's got to be a joke.
Guy #1: I'm super-serial! Google image search that shit man. FER SRS.
Guy #2: <click click click> Jesus Christ! I stand corrected. Why the FUCK would people do that to their women?