In a large bowl stir together garlic, minced rosemary, and 3 tablespoons oil and add shrimp. Marinate shrimp, covered and chilled, at least 4 hours.
To grill, thread 4 shrimp on each skewer and brush with additional oil. Grill shrimp on an oiled rack, set about 5 inches over glowing coals, 3 to 4 minutes on each side, or until just cooked through.
Alternatively, grill in a hot well-season ridged grill pan, covered, over moderately high heat 3 to 4 minutes on each side, or until cooked through.
Garnish shrimp with rosemary sprigs and serve with lemon wedges.