An Eternal Bald Observer told Olivia, at the end of the episode before last, that he saw her death, which will be unavoidable in all time lines. What does the future-seeing girl see about Olivia? Not clear, but -
At very least, she has been looked into by Massive Dynamics aka Nina Sharp, whom we last saw at the end of last week's episode, knocking Olivia out, and planning to do something to her unconscious body, which will leave her with a headache. My guess is install some kind of tracking device.
This week, Olivia is indeed suffering from headaches, and goes to Nina for advice about the girl who can see the future. She provides none, but shows up to Olivia's place to make her some soup (Nina is the closest person to a mother for Olivia in this reality), and order some medicine for Olivia's headaches. Likely the last thing that Olivia needs.
Broyles is doing the best he can to look out for Olivia, and so is Peter. but unfortunately Olivia doesn't (yet) feel comfortable enough to be completely truthful with him. He sees her looking at photos of the EBOs - earlier, she was looking at them with Broyles - and he tries to explain to her what the EBOs do. Of special interest to Olivia, or course, is can they see the future, like the young doomed heroine in this episode. Peter explains that they experience all times simultaneously, rather than time travel or see the future and past. (Great nonverbal acting by Joshua Jackson in this scene, by the way, where his body language and facial expressions convey as much as his words.) But when Peter asks Olivia if one of the Observers has "reached out" to her, she says no.
Peter no doubt sees through that. It's heart warming to see these two working together. Olivia's best chance at survival will be Peter. Her and Peter's ability to stop the girl's visions from coming true is no comfort to her about being able to do anything to stop what the EBO saw from coming true - since he didn't really see it, he experienced it ...
... Fringe 4.2: Better and Worse Selves ... Fringe 4.3: Sanity and Son ... Fringe 4.4: Peter's Back, Ectoplasm, and McLuhan ... Fringe 4.5: Double Return ... Fringe 4.6: Time Slips ... Fringe 4.7: The Invisible Man ... Fringe 4.8: The Ramifications of Transformed Alternate Realities ... Fringe 4.9: Elizabeth