Nah. Sometimes a book doesn't have an intended deeper meaning. (though I maintain that you can always find some kind of meaning, some reflection of what the author believes or feels even if they're not actively trying to send a message)

But even for the books that do, finding that meaning can take not only a certain mindset, it often requires a certain set of knowledge. What do you know about the time period and culture that Alice was written in? What do certain aspects of the book mean within the context of that time and place? How does it compare to other children's books from that time? What does it do differently from those books? What was the author's life like and how might that have influenced the book?