I think that is a GREAT idea reading a bit to your therapist even if it is for only 10 minutes. I know mine would allow it without hesitation. I do know how difficult it is when my therapist is away. Boy do I struggle, but she has allowed me to photograph her, she has taped stories she has read from books I had requested and she even will write me a short letter to have with me to deal with those issues I have with her being away. her and I share a love of books and it seems this past year we have been reading alot of the same books. I ususally have a book with me when I come to my session to read in the waiting room. She always takes a look at what I am reading. Ofton she says she has read the book. About a month ago she made a comment on the book I was reading and asked me if it was any good. I had told her I thought it was. I was pleasantly suprised last week she made a reference to that that particular book and I asked her "Did you read it?" and she said that she did and she enjoyed it. I just had to smile because usually it is the other way around :0)
Anyways sometimes it is through books that I can't connect with her about some of the struggles I have. She always tells me there is no one way to do therapy. She is very open minded. Good luck