Are there any apps or websites where you can read actually published books for free?
You can try this site: www.onread.com or www.epubbooks.com. Also the books they have are limited as well but you can check them out. They also provide download links as well with diff formats like pdf,epub and so on.
I think there is but the books would be limited. Look up The Outsiders and see which website gives you it for free. I know there is one