The medical condition that causes googly eyes is known as Strabismus. This could be by birth or it could be caused later in life as a result of a trauma or other sickness, like cancer or inflammation of nerves. So, if your cat has inherited it, then no treatment is required because it won’t affect the vision of your fluff-ball, however, if you notice your cat developing it later, get it checked ASAP because it might be an indication of a serious health condition.
We have compiled a couple of pictures of cats having googly eyes.