More from the cited article...

...The Act does a few important things.

First, it repeals the federal Defense of Marriage Act. That law was passed in 1996, and it prohibited the federal government from recognizing same-sex marriages that had been validly entered into under a state's law. It also gave the green light to states to refuse to recognize same-sex marriages from other states.

Next, it prohibits states from refusing to recognize same-sex marriages that are validly entered into in a different state. It's also important to note that it does the same for interracial marriage....

While both of those items are quite important, I think the second of the two has more significance going forward.

For example, a gay couple legally married in my home state of Connecticut can move to Florida, and their marriage will still be recognized in Florida.