Rinse the rice in cold water until the water runs clear. Set aside.
Heat a large skillet over medium heat. Add ground beef, onion, bell pepper, and celery, and cook until the beef is browned and vegetables are tender.
Add garlic and Cajun seasoning, and cook for an additional minute.
Stir in the rice and chicken broth. Bring to a simmer, cover, and reduce heat to low. Cook for about 18-20 minutes, or until the rice is tender and liquid is absorbed.