Dice the celery, pepper, and onion into likesized pieces. This is your "trinity."
Cut up the turkey sausage into half moons, roughly ¼ inch thick.
Over medium heat, sweat the trinity with olive oil. Once the veggies have stopped releasing liquid, and the bottom of the pan is pretty dry, add in the garlic. Mix together and pile the veggies up on one half of the pan.
Add in the sausage to brown. There should be a little bit of accumulated flavor on the bottom of the pan (fond) as well as some darker veggies on the bottom of that pile. This is good for flavor.
Once the meat is browned, add rice, and stir it all together.
Stir in the chicken broth and seasonings. Bring to a simmer, and cover for 15-20 minutes until rice is cooked.