If Steve Lifes a book off the desk what type of energy is transferred to the book

Gravitational Potential Energy (GPE)

Step-by-step explanation:

If you lift up a book or any other object (i. e. Steve's book) he is applying GPE onto the object!

This is because Gravity acts negatively on every object on Earth and it is Gravitational Field so if you lift an object up from a flat surface, you are applying an increased force of Gravitational Potential Energy