Final answer:
The governess suspects Flora may be seeing a ghost, and when she looks out herself, she sees the ghost of Peter Quint.
Step-by-step explanation:
When the governess notices Flora looking out the window as if in a hypnotic state, she suspects that the child may be seeing or communicating with a ghost, specifically the apparition of Miss Jessel. Upon looking out the window herself, the governess sees the ghost of Peter Quint, the former valet, standing on the tower. This scene reflects the governess's growing alarm and the suspenseful atmosphere that characterizes Henry James's novel, The Turn of the Screw.