We are recommending Hotel B&B Graz in Annenstraße 58-60/Metahofgasse 21 since the tram station (Esperanto Platz/Arbeiterkammer) is right in front of the hotel and you can walk from the main train station to the hotel, it takes 5 minutes, as you can see form the map below. You can find more information under the following link https://www.hotelbb.at/

From the tram station (Esperantoplatz/Arbeiterkammer) you can get to Graz University of Technology by choosing one of the following tram lines: 1 (Direction Mariatrost, Station Maiffredygasse), 3 (Direction Krenngasse, Station Rechbauerstraße), 6 (Direction St. Peter, Station Dietrichsteinplatz), 7 (Direction LKH Med UNI/Klinikum Nord, Station Maiffredygasse).
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More hotels in Graz can be found under the following link https://www.graztourismus.at/de/hotels-graz/