Is Russian that widespread in Georgia? That sentence strikes me as odd, it would be like going to the US and saying "it's easy to get around even if you don't speak any Spanish".
Given geo-politics I imagine this is probably starting to change, and that more and more Georgians are probably learning English. But that's just a hunch.
If you have some time, I'd recommend venturing outside of the capital (Tbilisi). The scenery you see in different parts of the country is breathtaking.
A more knowledgeable stackexchange user says:
If you know Russian, use it. Despite the political situation, Georgians are smart and open minded. They may not like the Russian government but they love Russian people and they love the Russian language.
I'm pretty convinced after seven months in Georgia that people learn Russian there for just the same reason foreigners everywhere learn English: it's cool and it's useful.
English is spoken, but I wouldn't say "widely". It's spoken by people aged in their 20s and younger, moreso if they're in a big city and moreso depending on their level of education.
Source: https://travel.stackexchange.com/questions/10640/what-langua... (the full answer is worth the short read)
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Also, another point of interest for US citizens is that Georgia gives you a 1 year visa-free stay. Could be a great option if you're traveling Europe and need to be out of the Schengen zone when your 90 days are expired.
https://travel.state.gov/content/travel/en/international-tra...