In a medium saucepan, combine the vegetable broth, whole milk, and finely chopped broccoli and bring to a boil over medium-high heat.
Reduce heat to medium-low and simmer for 2 minutes to soften the broccoli.
Add the orzo, sea salt, black pepper, and turmeric (if using); stir to combine.
Cook, stirring occasionally, for 8–10 minutes until the orzo is tender and most of the liquid is absorbed.
Stir in the grated Parmesan and cook for 1 more minute until melted and the mixture is creamy.
Turn off the heat, taste and adjust seasoning if needed, then serve immediately.