Overall, I liked this movie. Technically, it is a well made film, and well acted. I enjoyed watching it and recommend it for a good entertaining film.
However, I just want to say that the film is not always that factual, at times. I would recommend reading a biography of Chanel (such as "The Gospel According to Chanel") to get a more realistic idea of her life.
This film has some fact, but also includes some idealized fantasy of her, which makes for good storytelling for a film. The film is good; the factual part, not so much.
The film shows Chanel as very skilled sewing and as a skilled pattern maker - but I believe in real life she was not that skilled; she could sew straight seams, but not necessarily intricate tailoring; she was more the creative genius with the fashion vision; she hired the skilled seamstresses and hired someone to make the patterns from her ideas and her rougher designs.
This film does cover the early part of Coco Chanel's life - up to about the beginning World War I. And in fact, it was because of the start of WWI in 1914-18, that Chanel got her big break in designing fashion - but the film does not include that historical background.
(As an aside, I think that a film would not have been made to cover her whole life, because during World War II, Chanel did live in Paris with a Nazi lover for a few years - and the whole part of her WWII years is usually hushed up. She then later lived in exile in Switzerland after the war with her ex-Nazi lover. So, they would not want to have included this unpopular part of her life in a big budget film, as it would be too controversial.)