The main conflict of the chapter is, perhaps, open to debate. The early section of the chapter is largely expository, detailing James Gatz transformation into Jay Gatsby. However, the chapter opens with a reporter at Gatsby's door attempting to get a story from Gatsby but not knowing exactly what the story is supposed to be.
The suggestion then from the first half of the chapter is that Gatsby's mystery is beginning to become a danger to him.
The second half of the chapter has a clearer tension as Tom accompanies Daisy to one of Gatsby's parties, having met Gatsby while horseback riding one day.
Gatsby's intentions become clarified here as well, as Nick states that Gatsby emphatically desires (and expects) nothing less than Daisy telling Tom that she has never loved him.
Ever the dreamer, he cannot possibly imagine that she will refuse.
Gatsby wants to go back and start from the beginning with Daisy, but he cannot get this idea through to her.
The conflicts here are the incipient struggle between Tom and Gatsby and Gatsby's turmoil regarding convincing Daisy of his fixed intentions.
I would say that it is about the difference between class. Gatsby started out poor, and wanted to become rich. Moreover, Daisy is part of the rich class and started out that way, thereby embodying Gatsby's dream.