Blend cilantro, spinach, onion, bell pepper, celery, parsley, green onions, garlic, and chicken broth until smooth. Add milk to the mixture.
In a medium pan, melt butter with olive oil and sauté the rice until lightly golden.
Add the green vegetable puree and bring to a boil. Lower the heat, cover, and simmer for 20 minutes.
Heat corn and peas separately, then mix them into the rice before serving.
This green rice pairs beautifully with grilled meats or as a standalone dish.