When I was a young whipper-snapper I'd never have had a problem with what to do with two free months.
The world is full of members of the opposite sex, cheap travel and relaxation of border controls. Just a few for starters: You could toddle off to Morocco to study the Oud. Investigate reported sightings of a Yak and a Yeti in Durba Margh. Study the mating habits of the regulars at the Bamboo Bar in Bangkok. Go canoeing in Lake Titicaca. If you don't have much (or any) money, I once spent a happy weekend in London, just hanging out. I got pissed, stoned and
laid and went back on Monday with five quid in hand. Two months of that would have been magic and I'd have the chance to make 300 quid!
Its all up to you; just go with the flow...