I have some mixed feelings about surfing right now, but I think if one is a competent surfer and can get to the water while staying away from people then go for it. Exercise is good.
But....
If you're a kook, this is not a good time to get injured and end up in an emergency room (infection risk, and taking resources away from more important things), or to get yourself in trouble and need someone else to rescue you.
Its also not time to pile in a car with a bunch of buddies and head to a break (unless you've been been living together and isolating for a couple of weeks). Last week, my wife told me she saw a carload of douchebags roll up and hit the break. I'd say it would be reasonable to beat the brown trout out of them, but then there's the risk of getting infected whilst pummeling them, and the emergency room thing.