Old Genesis Silver model I think. Serial number should be on the right hand side (end of the burner panel). Put it into Weber's website to find out for sure.
Weber Manuals - browse product manuals by entering a serial number or product description.
edit: wow I'm dumb, it says Silver right on the handle. So yeah, definitely a Genesis Silver. Just don't know the differences between the specific models. Something from the 90s is my best guess. The good news is you'll easily be able to find parts for it (grates, flavorizer bars, etc) and restore it into a real workhorse (or give it to a buddy who likes gas grills more than you and make them super happy.)