If "peer" means "to look closely":
* Glance: A brief look.
* Gaze: A long, steady look.
* Stare: To look at something fixedly, often with curiosity or surprise.
* Ignore: To pay no attention to something or someone.
* Disregard: To pay no attention to something, even if it is important.
If "peer" means "to look at something from the same level":
* Look down: To look at something from a higher position.
* Look up: To look at something from a lower position.
* Observe: To watch something carefully, often for scientific purposes.
If "peer" means "to be equal in rank or status":
* Subordinate: To be lower in rank or status.
* Superordinate: To be higher in rank or status.
To provide the best antonym, it would be helpful to know the specific context in which you're using the word "peer."