Heat 1 tbsp of the olive oil in a large nonstick skillet.
Add the garlic, 2 tablespoons of the parsley, and the rosemary and cook over medium heat until fragrant but not brown, about 1 minute.
Stir in the shrimp, beans, salt, and pepper and cook for 1 minute. Add the fish broth and simmer until the shrimp are firm, pink, and cooked, 2 to 3 minutes more. Correct the seasoning, adding salt and pepper to taste.
Drizzle the remaining 1/2 tbsp olive oil over the shrimp and beans, sprinkle with the remaining tbsp parsley, and serve at once.