Vienna was built to be seen from a carriage. The Ringstrasse lines up the Opera, the Hofburg, the Parliament and the City Hall one after another; the Belvedere and Schönbrunn lie a short drive beyond it. Two hours with a car and a local driver are enough to see how the city fits together.
The seven suggested stops are a choice, not a checklist. You are free to take only some of them, and we recommend agreeing your selection with the driver at the start, so that more of the two hours goes to the places where you would like to spend time. The ride is door to door, from your hotel or address and back to it.