At Sinai, the people went up to the mountain to meet God, and Moses brought down the decalogue (“ten words”) on the stone tablets. These were the commands that were the people’s part of the covenant. When Moses came down, there was a feast to celebrate the covenant.
In the Near East, meals were often held to close deal on a secular covenant, such as a treaty.
At the Last Supper (not a term in the Bible) Jesus consecrated (“blessed”) bread and wine and the apostles partook of this meal, as a celebration of the “new covenant.”
Likewise, the marriage feast at Cana was a covenant between the married couple. Notice that Mary gives uses the terms of covenant to the servants, when she says “do whatever he tells you.” And, it is Jesus, God, who provides the wine to finalize the covenant. So, whatever else it may mean, it is using the symbols of covenant, meal, and wine, certainly to bless that particular marriage. Since it is at the beginning of Jesus’ ministry, as NotWorthy mentioned, it is echoing back to creation, both to Adam and Eve, and to the creating of one thing out of another thing, which happens back in Genesis.
As John Paul II lead us, this was one of the Luminous Mysteries where Christ was showing us His Divinity in the context of marriage and creation. Marriage is the way that people properly use the Divine gift of procreativity, to continue God’s work of creation, to obey the command to procreate. “Saving the best for last” points to God’s plan for salvation and humanity, in an oblique way, shows the closing of the Old Testament and the beginning of the New.