Cuban and Mexican are nationalities, like American. Black is a race. Mexican and Cuban people can be black. As a matter of fact, a lot of Cuban people are black. What it looks like is a caricature of a black person, like was posted earlier.
What is hilarious is thinking of the woman looking at that comic, then getting pissed while she thinks to herself, "Damn if that don't look like me!"
EDIT: After looking at the picture again, the "monkey" is wearing a do-rag, a backwards hat, a jersey, and a gold chain. She might have some merit in her concern.