I would argue that the major climax of this excellent coming-of-age novel is actually after Matthew dies and Marilla discovers that she is going blind. This is a very important stage in the novel, because it looks as if Anne is going to lose the home where she has grown up and had so many happy memories as well as Matthew. This is the climax because she must make a very important choice: to go and take up the Avery scholarship that she has worked so hard to achieve and thereby accomplish her dreams of studying, or to give up her ambitions and dreams and settle for a much more mundane reality, working in a school and staying with Marilla to help look after her. This, in a sense, is what the whole novel has been leading towards, as we see Anne facing the final choice she must make to mature. Will her own desires triumph, or will she show once and for all that she is now no longer an orphan but a loved member of a family with ties that are more important than her own desires? The way in which Anne willingly stays with Marilla shows the answer and the final step in her maturity.
she is able to talk to matthew and she matures