Mudblood to Pureblood

All Hermione Granger has known since she had started at Hogwarts School of Witchcraft and Wizardry is that mudbloods were filth, but what she dosent understand is that- she's adopted, her real parents are purebloods how will this affect her school life? Hermione and Sirius friendship, nothing underaged- maybe when she's of age lol set between PoA and GoF