Stare
"Stare" means to look at something/somebody per long time.
Gaze
"Gaze" is to look somebody for a long time,
especially with surprise or love, or because you are thinking.
Glare
"Glare" means to look angrily at somebody/something for long time.
Peer
"Peer" means to look at something with attention.
Glance
"Glance" means to look at somebody/something very quickly.
Glimpse
"Glimpse" is to see something/somebody for a very short time, when you do not see the person or thing completely.
Peep
"Peep" is to look quickly and secretly at something, especially through a small opening.
Peek
"Peek" means to look at someone or something secretly especially from a hidden place.