Prepare the rice and herbs by combining the cooked rice with 2 tablespoons of parsley, 1 tablespoon of dill, half a teaspoon of salt, and a drizzle of olive oil. Fluff it all together with a fork.
In a large skillet over medium heat, melt 2 tablespoons of butter along with the olive oil. Add the minced garlic and cook for about 30 seconds until fragrant.
Season shrimp with half a teaspoon of salt and a quarter teaspoon of black pepper. Add to the skillet in a single layer and sauté for approximately two minutes per side until opaque and pink. Transfer to a plate.
Reduce heat to low, melt the remaining two tablespoons of butter, pour in the heavy cream while stirring to scrape up browned bits, and let it simmer for about three to four minutes until slightly thickened.
Return the cooked shrimp to the pan, stir gently to coat in the sauce, and add remaining parsley, dill, and lemon juice.
Divide the herb-infused rice among four bowls, top with shrimp, drizzle extra cream sauce, and garnish with reserved herbs and lemon wedges.