Just to expand somewhat on @Anyon's comment:
"You can read textbooks at very different levels of detail. Do you know what level is expected from you?"
Taken literally, "I was given an academic textbook on reinforcement learning, and I was asked to read it by next week by the professor.", your professor has only asked you to read the book. Just reading doesn't take long. If you read 50 pages each morning and each afternoon, then it ought to be easy to read a 400 page textbook in a week (and if it is the excellent book by Sutton and Barto, then I have read it in about a fortnight of reading in my lunch hour, which is a comparable amount of time).
Just reading a textbook is a valuable thing to do - it ought to be sufficient to give you a good understanding of the key concepts, terminology, conventions, problems and ideas. That will give you a common frame of reference for discussing the topic in greater detail with your professor in a very efficient manner. So this doesn't seem an unreasonable request, especially if it is your only assigned activity for the week.
I suspect the mismatch in expectations may be that you think the professor expects you to have fully digested the material and understood the mathematics in detail, but I doubt that is the case - it would definitely take more than a week!
A few years ago, I was assigned to teach the operating systems part of a computer architectures and OS course (which I hadn't done since I was an undergraduate back in the 1980s). So I read Tannenbaum and Bos (1136 pages), Stevens and Rago (1013 pages) and Kerrisk (1552 pages) cover-to-cover as well as sampling some other good OS course texts. The reason I did so was not to gain an understanding of everything covered in those texts, but to give a broad overview of what there was that might be worth covering in the course and what the API provides for programming activities that I might use as examples, demonstrations and coursework. It also meant if a student asked me some obscure question, I would at least have a vague idea of what they were talking about and roughly where to find the answer. I got that just from a month or so of lunchtime reading. Time well spent - it enabled good communication with my students.