This is a series of nine books, Anne of Green Gables being the most well known and loved. This and the other eight books (Anne of Avonlea; Anne of the Island; Anne of Windy Willows; Anne's House of Dreams; Anne of Ingleside; Rainbow Valley and Rilla of Ingleside) follow the story of Anne an orphan girl who turns up at the Cuthbert's home instead of a boy. Anne is an amusing friendly aspirational girl that I can personally relate to. Whether dying her hair green or getting stuck under a bridge Anne has a great laugh but she has her faults too and has to learn to work through her temper and pride to achieve the best.
Anne of Green Gables is set on Prince Edward Island north of the Nova Scotia peninsular. Anne was not always from there she is a Nova Scotia and was born in a little yellow house. Before Green Gables, penned by Budge Wilson, is the prequel to Montgomery's books about Anne and describes Anne's neglected childhood and pleasant moments. Wilson has succeeded in joining the books well so that it feels like they link and has remembered to include all the details given in any of the other books by L.M. Montgomery and including some of his own.
As there are quite a few books in this series you might not be able to read them all. If not I would definitely suggest skipping to Rilla of Ingleside because it is amazing and I cried bucket loads. Even though the story is no longer based on Anne, Rilla, her youngest daughter shares the same passionate love of life and even through the horror of the Great War and the various tragedies she has to face Rilla has to learn to keep a smiling face.
Personally I love them all and feel I can really sympathize with Anne and her children because they are realistic characters in a realistic setting where not everything goes right.