Answer: The reader can follow the thoughts and feelings of both Lizzie and Turner.
An omniscient narrator is one who is able to see everything that is going on in the story. This includes the inner thoughts and feelings of all characters. It is often compared to the point of view of "God," or a similar supernatural being that is all-knowing. In this excerpt, the narrator is able to see everything that Lizzie does, feels and thinks, as well as everything Turner does, feels and thinks.