Kaebea,
Just want to reinforce what Pat had to say.
Please do not assume that just because he is a trainer he is going to be familiar with this book. He will most likely or should be very familiar with the lifts within the book.
Short story: My neighbor belongs to a big box gym here in the city. She was so excited because they are beginning some kind of program that promotes the New Rules of Lifting for Women. She called me specifically about this because 1) I had already introduced this book to her and convinced her to purchase it.
2) She wanted further assistance in teasing out how to do the rotation of the scheduled workouts.
Books been out for over a year. If they were really a great gym they would have already embraced this in my opinion. I've actually visited this place and the free weight section was a disappointment but I digress.
My point.
Not everyone is on the same page at the same time.
Unfortunately the experience from several who have worked with a personal trainer did not initially meet their expectations. When you meet with him have your goals/needs clearly defined. Write them down on an index card or piece of paper. Keep a copy for yourself as well.
If there are specific lifts or exercises you want him to cover write the names of those exercises down on the paper/card. I just want to be certain that you get out your training sessions what you expect. You are
paying for this service.
Of course, if he has anything additional that he thinks may assist you in learning the movements or perhaps to build a baseline of fitness then by all means consider that too.
But let him know straight away what your ambitions are. Let him know about the book and if he is familiar with it... bonus!
I only emphasis this because the more clarification you can provide from the very beginning the more satisfying your sessions will be for you. Some trainers are very good about drawing out people and listening to their needs and interests before the physical assessment and developing a specific program for just that person. Others, ehh. Not so much.
Good luck and Enjoy! It really is so much fun and worth the effort to learn.