First off, congratulations on getting into sailing and planning a post-grad adventure. As you've probably already gathered from this forum, cruising is an amazing way to see the world.
But since you are new to sailing, I would strongly suggest that you go a different route than trying to buy and sail your own boat. Owning a boat is a MAJOR responsibility. It's not like a car - it breaks a lot more frequently and you can't take it to the nearest dealership to fix. It requires a ton of hands-on maintenance, from bottom paint to varnishing to diesel maintenance to plumbing systems, all of which take a lot of time to learn and understand. You also have to understand that you'll be spending 20% of the boat's cost EACH YEAR in maintenance work. Can you afford that?
And then there's sailing. Sure, you may learn the proper way to set the sails pretty quickly, but what about reading charts? Understanding current? Do you know how to enter a harbor when wind and current are opposing one another and creating breaking waves? Can you get in and out of a dock? Do you know how to properly tie or anchor your boat in a storm? How to read a GRIB file? How to use GPS, SSB, VHS, and other electronics? Again, there's a lot to learn and it takes time and experience.
I would recommend saving that money and crewing for a more experienced captain. It's safer, you'll learn a ton, and you'll still get to have amazing adventures in exotic places. There are a ton of places online where you can find people looking for crew someone as eager as you will have no problem getting signed up.