Heat the olive oil in a pot over high heat. Add the bell peppers, celery, onions, and bay leaf. Cook, stirring occasionally, until the onions become soft and clear.
Reduce heat to medium-low. Add the sweet basil, oregano, thyme, salt, black pepper, and garlic. Cook for 1-2 minutes, stirring constantly.
Add the diced tomatoes and sugar. Increase heat to medium and cook, stirring occasionally, for 6-8 minutes.
Add the Blue Runner® Shrimp Creole Base and bring the mixture to a boil over high heat. Add the shrimp and return the mixture to a boil. Cook just until the shrimp are done, about 2 minutes. Remove from heat.
Serve over Pesto Rice.