SEE refers to the visual impressions that come to our eyes. Seeing is not always deliberate, it may be accidental. We saw a bat flying across the room
LOOK suggests intention: we are trying to see something. He looks at every girl he sees
WATCH implies looking, but suggests that something is moving, changing or developing in front of us.
I watch a football match every Sunday
Be careful! We watch TV but We see a film or a play.
Hope you find it useful!