Then head up the '''Kaernter Strasse''' (the pedestrian mall) towards '''St. Stephens cathedral'''. Along the way you come by '''Hotel Sacher''', take a look at the pastries there (and their world famous cake - Sachertorte).
Vienna is famous for it's old style Coffee-Houseswith grand architecture. Along the way, try to find some famous one's like '''Cafe Central''', '''Cafe Demel''' and '''Cafe Hawelka''', they're all around the downtown area near the '''Kaernter Strasse'''.
But make sure to take a look inside '''St. Stephens cathedral''' once you made your way there.