Hi,
it depends if you are desperate for the money... if you are you could put it on ebay at a reasonable starting price, and it will certainly sell. Alternatively put it on ebay at an unreasonable starting price and invite offers. Truly mint guitars are rare, and the price it could fetch is very difficult to guess. Don't accept an offer too soon.
Or you could sell on consignment through a guitar store, but they will take a significant cut. If you live near such a store it might be the easiest option.
But if you don't really need the money right now i'd certainly hold off. Now is a bad time to sell; the vintage guitar market is depressed in 2012, and summer is a really bad time to sell anyway.
There is a detailed article in preparation for this site about the best way to sell a vintage guitar, so watch out for that. But for now:
1) take a LOT of detailed photographs. Show everything, good and bad
2) if it truly is 'like new' this could fetch a significant amount of money, but finding a buyer with that money is not always simple. Post it for sale everywhere you can - guitar forums, classified sites, Craigslist etc and wait. Bump the posts every few weeks and keep waiting.
Can you post some pictures here?