In a large nonstick skillet, heat the oil. Saute the shrimp until just pink, about 2-3 minutes. Add the garlic and cook stirring constantly, about 30 seconds. With a slotted spoon transfer the shrimp to a platter and keep them warm.
In the skillet, combine the broth, wine, lemon juice, 1/4 cup of the parsley, the salt and pepper; and bring it to a boil. Boil uncovered, until the sauce is reduced by half.
Spoon the sauce over the shrimp. Serve garnished with the lemon wedges and sprinkled with the remaining tablespoon of parsley.