I would not say that "get a sunburn' is used only in the USA, but I have certainly gotten a sunburn a time or two, and it is painful.
"get a sunburn"
"When you get a sunburn, you're basically killing skin cells."
(An interesting article on sunburn)
"Why is it that if you go out on a bright summer day and spend an hour in the sun, you get a sunburn?"
What happens when you get a sunburn?