I have a book to read.
Could be "I possess a book, and therefore I will not be bored". (Pure possession)
Or "I'm obliged to read a book, which is not necessarily mine, by Monday's class", for example. (Obligation)
Or "I possess a book and am obliged to read it." (Possession and obligation)
Or "I possess a book and want to read it. (Possession and desire).