"This bus goes to the city."
Translation:Этот автобус идёт в город.
It's a general word like English "go". Время (time) идёт, поезд (train) идёт, кровь (blood) идёт, дождь (rain) идёт. There are a few meanings, one of them is a continuous steady action (something swift, fast is often "бежит": время, кровь).
Here "this bus" means more about a particular route, you can say "автобус едет" and it's more about a particular car, I think.