As Khimarhi says, this is an unlocakble event in Moscow when you reach 450 stars. (As zacattack5000 points out, you need to have a PR firm too.)
It is managable solo. However, the minumum difficulty is medium.
I managed to scrape through playing bass and singing (badly).
Don't chase stars or use overdrive, just concentrate on getting through and keeping your band member's icons high on the bar.
Keep the overdrive gauges full to rescue a band member if they fail. Don't rescue straight away if a band member does fail, you have until the red bar drops to the bottom, so you can make your life a bit easier by skipping over a difficult section and rescuing later.
The hardest song for me was Tom Sawyer, Geddy Lee's vocal sections are short and oddly pitched. Run to the Hills is tricky too, as the bass part is pretty busy and doesn't give you much scope to look at the vocal track.
The other songs are Don't Fear The Reaper, Flirting With Disaster, Won't get Fooled Again, Highway Star and Enter Sandman.
Lastly, once you have completed this, the minimum difficulty for the other gigs drops back to easy, so you can go mop up the location achieves.