There are many verbs that we can use when we are referring to actions, that our eyes do.
Your eyes can perform the following actions:
See - I can see the sun.
Watch - The teacher likes to watch the children play.
Wink - When someone winks they close one eye.
Look - People should look when they are crossing the street.
Roll - If someone is not happy, than sometimes they roll their eyes.
Open - It always hard to open your eyes in the morning.
Close - When we sleep we close our eyes.
Cry - I do not like to see people cry.
Tear/Water - My friend's eyes always fill up with water, and her eyes tear (drops of water come out of the eye).
Squint - People squint (almost closing their eyes in order to try to see something better) when they are trying very hard to see something.