When I took cultural anthropology back in the day we would have said "gender roles." I don't remember hearing the expression "cultural construct," although the concept was around.
They are supposed to be quotes from 2 people. The intended joke is that what the second person said is an example of what the first person said, although they don't realize it.
Someone told me I wasn't a real man since I don't own a gun. Or that I don't dominate my wife...but then the government of the People's Republic of China couldn't dominate her either. :-)