1) "To grow to love literature more"
This implies that the person is going to eventually love literature even more than he currently does. His appreciation for reading literature will increase.
2) "to grow to love more literature"
This says that the person is going to learn to love a wider selection of literature. Perhaps he currently loves to read only the works of 19th century English authors; he is now going to strive to appreciate works by American authors as well.
Student or Learner