Heat oven to 350. Cook rice separately and pour into a 10 x 15 or deep 9 x 13 pan. In medium pot on stove top, melt butter, add garlic and seasonings and cook until wilted. Add all the rest except the Velveeta; cook on medium heat until blended. Add Velveeta and broccoli and cook until Velveeta is melted. Add mixture to rice and stir gently until blended. Cook in oven for 30-40 min. The center should not be too juicy and the top is lightly brown. (Option: top with cheddar cheese before baking)
Note: You can save time by putting everything except the rice in a 9 x 13 dish in the microwave. Cook on high 12 minutes; stir every 3 minutes until cheese is melted. Then stir in precooked rice and cook in the oven as stated above.