George Murchison is an affluent college student who has been casually going out with Beneatha. George is depicted as an educated (and rather arrogant) young man; he is a conservative individual and does not share Beneatha's values regarding her African heritage. George is the antithesis of Joseph Asagai and does not respect Beneatha's dreams or her aspirations.
When Beneatha informs her mother that she will be going on a date with George Murchinson, Lena comments that Beneatha seems to be getting a little sweet on George. Beneatha responds by dismissing her comment before mentioning that she could never take George seriously because he is so shallow.
Beneatha goes on to admit that George is by far the wealthiest boy she's ever dated—and even likes him—but cannot get over his snobbish, conservative personality. Essentially, Beneatha does not have deep feelings for George Murchinson and says that she would never think of marrying him because he is too shallow.