For girls/ladies, just wear a bikini or bathers. From a vanity point of view, if you're intending to spend some time on the beach after you bodyboard, you might like to wear something you'd be happy to sit on the beach in. If not, a good pair of training swimmers is the most ideal. Don't wear swim wear that has zips, buckles or big knots. They can start to dig into your skin and even damage your wetsuit.