“Look” is to direct your attention towards something.
“Look” is intentional, and it is often used in this form:: look + at + (object).
よく look at + (object) という形で使われることが多いです。
・Look at the sunset – it’s so beautiful!
・Look at that strange man.
・Look at the pictures I took on holiday.
・Don’t look at the sun with naked eye.
・Look at me while I am speaking.
・He looked at his watch and told me the time.
・I looked at the photos of my family.
・I will look at the deserts before I order one.
・I am going to look for a new apartment. My apartment is too small.
・Don’t look at me!
・I am looking for my car keys. Have you seen them ?
・She is very shy, she won’t look you in the eye.
See is to perceive with your eyes, but it is not intentional (you don’t “try” to see, it just happens)
・Did you see that bird?
・I saw you driving to work today.
・Can you see my house over the cliff?
・Bats can see very well in the dark.
・See you tomorrow.
・You may not see much in dim light.
・I saw a car accident while driving home from work.
・I saw your photo in the newspaper.
・My cat is very old, she can’t see well anymore.
・I saw one of my friends at the supermarket.
・I saw two students walking down the street.
See = Visit というケース
The verb see can also be used to mean to visit, or have an appointment with someone.
・Janice saw a doctor yesterday.
・Peter will see his girlfriend tomorrow.
・Have you seen a specialist?
Watch is to keep your eyes on something (usually something that is moving) for a long time. It is intentional.
・I’m watching TV.
・I watched the baseball game.
・I like watching the sun set every day.
・Please be quiet, I am trying to watch the world cup series.
・Do you like watching talk shows?
・I watched a good movie last night.
・I don’t usually watch the news in the mornings.