Metro

It is called the U-Bahn in Vienna (Wien) and other German-speaking cities.
According to this map, Rechte Wienzeile 93-95 is right next to a U-bahn station called "Pilgramgasse", which at that point is overground. I hope the trains don't keep you awake!
If you look at This map: http://www.wienerlinien.at/media/files/2014/svp_139764.pdf
Pilgramgasse is on line U-4 (green), slightly down left of the centre of the map.

P.S. there is more than one station in Vienna, so I can't tell you directions from "the train station", but you can work those out from the U-Bahn map I posted.

Thanks for your help

The "Location" page on the website of your hotel http://www.austria-trend.at/Hotel-Ananas/en/location.asp has good information.

Thanks Nigel