Finely chop 1/2 onion and 3 garlic cloves.
Heat 2 tablespoons extra virgin olive oil in a small saucepan over medium heat.
Add the chopped onion, garlic, and 1/4 teaspoon salt and cook gently until softened, about 2–3 minutes.
Stir in 1 teaspoon dried oregano, 1 teaspoon dried dill, and 1/4 teaspoon black pepper.
Add 1 cup orzo and stir to coat it in the oil and herbs.
Add 1 tablespoon lemon zest (reserve 1/2 teaspoon for garnish) and pour in 2 1/2 cups broth, then bring to a simmer.
Simmer the orzo, stirring occasionally, until the pasta is cooked and most of the liquid is absorbed, about 10 minutes.
Taste and season with additional salt and pepper as needed.
Transfer to a serving dish and finish with a drizzle of extra virgin olive oil, a squeeze of lemon juice, fresh dill, and the reserved lemon zest.