In a medium saucepan over high heat, combine the broth and rice. Cover and bring to a boil, then reduce the heat to low and cook for about 45 minutes. Turn off the heat, and leave the rice sitting with the lid secured for at least 10 minutes.
In a large skillet over medium heat, warm the olive oil. Add the carrots and celery and cook, stirring frequently, for 6 to 8 minutes, or until tender the vegetables are just tender. Stir in the cooked rice, parsley, chives, and black pepper, and stir for about 1 minute until the rice is warmed through.