What Dreams does Lily have for her future? Who influenced these dreams?

I think Lily drams of a time when race no longer matters. Lily begins the novel having a close relationship with Rosaleen, her black housekeeper. Still, she does not consider white people and black people to be equal. When she arrives in Tiburon, however, she realizes her own prejudices. She discovers that she has believed that she did not believe that a black person could be as smart as she is. Her idea was disproved once she met August. She also is angry when June discriminates against her for being white. She begins to understand discrimination and begins to be able to empathize. Then, when Lily falls for Zach, she is overcome with curiosity and confusion that she could be attracted to a black man. Yet, she soon realizes her deep and lasting feelings for him and sees him for who he is. Despite their love, Lily learns that they cannot truly be together because of the racial divide between them, and she comes to understand the equality of people as well as the curse of racism. When she is fully accepted by the Daughters of Mary and fully appreciates the Black Madonna, we can say that she has become fully integrated into a world (as yet unrealized elsewhere) where race does not matter for getting along with others in equality and love.