"The woman reads him her book."
Translation:La donna gli legge il suo libro.
this chart is organized to see how to use each pronoun before a verb. It might help you quickly answer your question when you see a particular pronoun, how it can work.
It's just a weird Italian thing? While gli is the article for plural masculine nouns, it also is the indirect pronoun 'to him'. I can't tell you why; that would be too helpful for both of us.
On a side note, the feminine indirect pronoun for 'to her' is le. So if you remember your plural articles, you got these pronouns. Good Luck!