The movie isn’t anywhere near the same as the book.
And it shouldn’t be thought of as the same story - it’s not an adaptation but an interpretation of the first book.
Though in doing that it ruins a few key points needed to link the sequels, which never received movie sequels because the movie was just that bad.
The only thing I can complement is some of the actor choices. Particularly the choice for Brom Murtagh, and galbatorix (though the mad king doesn’t appear in the books till the last book at the final showdown)