Book vs Film
The book is a very good read. https://www.goodreads.com/book/show/25953369-hidden-figures?from_search=true&qid=N8MhGJd4xZ&rank=1t
The book is more about race relations in the 1940's to 1960's than the space program. Some of the things it details is the shameful resistance to school desegregation efforts that took place in Virginia which resulted in closure of schools instead allowing blacks and whites to learn together.
There is a comparison of the book to the film here; http://thatwasnotinthebook.com/diff/hidden-figures