ways of looking

look:
to turn your eyes in a particular direction

Cast:
If you cast your eyes or cast a look in a particular direction, you look quickly in that direction.


watch
:
to look at sb/sth for a time, paying attention to what happens
to watch television, a football game

stare:
to look at sb/sth for a long time
Stare, gaze, peer and glare can be used as nouns, the act of looking at sb/sth in a way that is unfriendly or that shows surprise: She gave him a blank stare
mirar fijamente

gaze:
to look steadly at sb/sth for a long time, either because you are very interested or surprised, or because you are thinking in sth else.

peer:
to look closely or carefully at sth, especially when you can not see it clearly We went to the window and peered out

gape:
to stare at sb/sth with your mouth open because you are shoked or surprised

glance:
1_to look quickly at sb/sth
She glanced at her watch
2_ glance at/down/over/through sth to read sth quickly and not thoroughly
syn_scan
I only had time to glance at the newspaper

glimpse:
to see sb/sth for a moment, but not very clearly
syn: catch sight of, spot
He had glimpsed her through the window as he passed.

peep:
to look quickly and secretely at sth, especially through a small opening
we caught her peeping through the keyhole.

glare: (at sb/sth)
to look at sb/sth in an angry way
syn: glower
He didn`t shout, he just glared at me silently.

observe:
1_to see or notice sb/sth
Have you abserved any changes lately?
(according to oxford dictionary this patter is only used in the passive)
2_to watch sb/sth carefully, especially to learn more about them
syn: monitor
I felt he was observing everythig I did.