In reply to Kemics:
Depends a bit where you're based...and your girlfriend's mobility but...
Take the cable car from Passo Falzarego to Lagazuoi...15 minute stroll up to the highest point on good trail...lunch at the Rifugio. Outstanding views!
Lago del Sorapiss from Passo 3 Croci, lunch at the rifugio (Above Cortina, east). Long stroll, beautiful setting, good trail. Almost no ascent.
Otzi museum in Bolzano to see the iceman...pick your moment! Very popular!