I'd say the picture is real.
However, I'm not sure what all the fuss is about. I doubt she's checking herself out. More likely she's just getting rid of some sand, as another poster said.
But more to the point, Anna looked great on a tennis court standing opposite some pretty unattractive women, gasping out little "cries" as she played her shots, and bouncing up and down in cute outfits. Put her on a beach with other young women and you would not pick her as a stand out.
She's "cute", but certainly not hot enough to obsess over, especially from afar.