Two major symbols of The Great Gatsby introduced in chapter 1 are East Egg and West Egg. They symbolize the social divide between old money and new money, respectively. They are separated by what Nick calls "a courtesy bay." It is possible that Fitzgerald also thought of eggs because of how they appear white and pure on the outside but have a yellow center, a color sometimes associated with decay or rot. Interestingly, daisies have this same color arrangement. It is possible, then, that while these two wealthy communities look clean and attractive on the surface, a glimpse into the interior reveals something unsavory.
The "thin beard of raw ivy" that covers Gatsby's mansion may be meant to symbolize the fact that Gatsby is decidedly "nouveau riche." It suggests that it has been recently planted in an attempt to make his house, built in the style of a French country hotel, look as established and stately as those of East Egg.
The name of Daisy and Tom's friend and frequent guest, Jordan Baker, is a mashup of two cars popular in the 1920s: the Jordan, a bright and attractive auto, and the Baker, a sporty, luxurious model. Jordan is described as an attractive sportswoman who utters occasional witticisms, thus making her name likely symbolic.
And finally, at chapter's end, the symbol of the green light at the end of Daisy's dock is introduced. Gatsby reaches out toward it, symbolizing his desire for his dream that is tantalizing near, yet unreachable.