Fans of Fringe will have to wait awhile. Peter and Olivia aren't hooking up during the show's first season.
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This is a scene from the episode titled "Ability." In it, Olivia Dunham is wanted for questioning.
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Walter Bishop is seen here in a scene from Fringe. The doctor is on the (weird) case in the episode titled "Ability."
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In this scene from "Ability," the Fringe team is on the case. The are tracking down a case that involves the closing of victims' facial orifices.
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Something is amiss during the episode of Fringe titled "Ability." That's often the case on this show, of course.
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Walter and Peter fight like your average father and son. They just do it in a lab, hovering over a body.
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Fringe Season 1 Episode 14 Quotes

How come when nobody knows and it doesn't make sense, they come to us?

Peter

Olivia: Is your father about?
Peter: Right here. Why don't you ask him what he's doing?
Olivia: I'd rather not.