Yes, there are real differences between the genders, but I think they are much fewer and less pronounced than most people think. Many supposedly immutable gender differences have been found to be societally imposed upon closer inspection. (Citation needed, I'm posting this from a phone.)
It's a great and funny book on the biology of gender and reproduction, written as an advice column.
Growing up in the midwest, I mistook a lot of what people got up to as essential facts of human biology. But after 15 years living in San Francisco, I've come to realize how much of that is purely socially constructed.
