Once you walk out from the main entrance of the station (the station is somewhat small) there is a parking lot between the station and Via Trastevere, so as Becky mentioned, you want to skirt around to the left to Via Trastevere (the street curves right at the station and actually becomes a differently named street) and the Tram Stop is to your left, rather than obvious, it is "apparent" if that makes sense. The Tram stop is actually on an island or median in the center of the street. Since you want to head toward central Rome on Via Trastevere, you want the stop on the "Station side" of the tracks.
If you are adept using Google Maps, you can do street view to do a virtual look at the area.
From the Tram stop near the hotel, it is only a couple easy blocks.