Preheat grill. Brush crabs with olive oil and season with salt and pepper to taste. Grill for 3 to 4 minutes on each side or until cooked through.Divide above ingredients among 4 large plates. Top each plate with a crab and drizzle with green garlic vinaigrette.
Green Garlic Vinaigrette:
Place vinegar, shallot, parsley, garlic in a blender and blend until smooth. Slowly add olive oil and season with salt and pepper to taste.