You may have to just learn these as phrases. You look at a painting, a person, a statue... This means that you are standing there and you are considering it (a little at least!). It was probably on purpose. If I see something, it might not have been on purpose. Yesterday, I was walking in the street and I saw a cat. The cat then went away. I wasn't trying to find a cat, but I did see one. You watch a TV show, a film, a play... Anything that has a story that you are following. It is longer than just looking at something.