There is a lot of speculation that in addition to invading Georgia on the ground, Russia also attacked its internet sites. You can read about it here, here, here, and here. That the site’s were attacked is not in question, but determining whether the attacks were coordinated or sponsored by the Russian military or just the spontaneous work of nationalist Russians is going to be very difficult.
On the one hand it seems unlikely the military would have much to gain by attacking the public web sites of Georgia as opposed to infrastructure servers such as at banks and factories. On the other hand reports of lower level attacks happening in the run-up to the war would indication government involvement if not actual sponsorship.