Preheat the oven to 325°F.
In a large ovenproof pot or Dutch oven over medium-high heat, heat the olive oil.
Season the pork shoulder with salt and pepper, and gently lower it into the pot.
Sear for 5 to 7 minutes on each side, or until browned.
Add the water, garlic, thyme, bay leaves, and oregano, and transfer the pot to the oven.
Cook for 1½ to 2 hours, or until the pork is cooked through and can easily be shredded with a couple of forks.
Shred the whole thing, stir it around in the cooking liquid, and serve.