You can see here the Gardens of The Belvedere Palace. In the background you can see the Lower Belvedere Palace (1714-1716), where the Prince Eugene lived. Inside this palace youll find an interesting fresco of Martino Altomonte, the Museum of Medieval Austria Art (with Romanesque and Gothic works) and the Baroque Museum (with works of Maulbertsch, Messerschmidt and Doner).
Well now take a tramway again and go to Karlsplatz (not far from the State Opera) ...