I'm not sure if there were supposed to be options for us to choose from along with this question, but one conflict that arose during the Civil Rights Movement was segregation or Jim Crowe Laws.
Answer:
Lennie asks for "the story" about how they are different from the other guys.
Explanation:
Lennie loved the story about the land that the both of them were gonna get, and about the rabbits that he would take care of.
Of Mice and Men is a really good book, you should read the whole thing sometime :)