Add the rinsed rice to the saucepan and stir well to coat with the butter and herbs. Toast for 2-3 minutes.
Pour in the vegetable broth or water and season with salt and pepper. Bring to a boil, then reduce heat to low, cover, and simmer for 15 minutes until the liquid is absorbed.
In a separate bowl, combine the remaining 1 tablespoon of butter, finely chopped parsley, and lemon zest. Mix well.
Once the rice is cooked, remove from heat and let it sit, covered, for an additional 5 minutes. Fluff rice with a fork and gently stir in the prepared herb butter.
Serve warm, garnished with additional parsley and lemon wedges.