Add the broth, rice, kale, sausage, bay leaf, 1 teaspoon salt and 1/2 teaspoon pepper. Bring the mixture to a boil. Reduce the heat to a simmer and cook, uncovered, until the rice is tender, about 35 minutes. Remove bayleaf. Season the soup with the remaining 1 teaspoon salt and 1/4 teaspoon pepper or to taste.