She was appalled by West Egg, this unprecedented "place" that Broadway had begotten upon a Long Island fishing village
This line describes Daisy’s prejudices against new wealth and that culture, especially Broadway and the culture of rich people that come from there. The 1920’s was when Broadway first started to become a popular form of entertainment, as a result of the popularity and influence of Vaudeville. Broadway created a culture of celebrity obsession because Broadway shows in the 20’s emphasized the celebrities in them rather than the content, just like Vaudeville acts like Ziegfeld’s Follies.
In this context, West Egg has become the place for newly wealthy people who got their money from Broadway success to live their lavish lifestyles, and Daisy resents them because these newly wealthy people created this “unprecedented” place instead of actually being born in and a part of the upper class. She sees it as no more than some pompous houses on a “Long Island Fishing Village.” She didn’t care if they were famous because all that matters to her is whether or not someone was born into wealth.
To help improve the meaning of these lyrics, visit "The Great Gatsby (Chapter VI)" by F. Scott Fitzgerald and leave a comment on the lyrics box