It pretty much is. The man is wearing what is called the "chokha" (ჩოხა), which is just a traditional wool coat popular across the Caucasus. The sleeves on the front are for cartridges, and it is seen throughout paintings and other depictions of the region, especially relating to the Russian conquest of the region in the 1800s.

I don't know if the women's dress has a name, but it is fairly standard for the occasion, much like a white dress and veil are popular in North America.

Overall weddings in Georgia relate to tradition like this, and are usually conducted in churches. They are cause for a great celebration, much like in the West (or at least in North America), with a huge meal afterwords and speeches by guests. The entire concept of a Georgian meal is a key part of their culture, known as a "supra" (სუპრა; literally "tablecloth").