Rinse and drain the rice.
Place the rice in pot with 4 cups of boiling water. Add the salt, butter, and olive oil. Let it return to a boil and reduce the heat to a simmer and cover.
Let cook for 15 minutes.
Meanwhile, chop the fresh dill and set a ¼ cup aside.
Once the 15 minutes have passed, scatter 1 cup of fresh dill and the dried dill over the rice. Cover and cook for an additional 15 minutes.
Once the rice is cooked, turn of the heat, uncover and sprinkle over the remaining ¼ cup of fresh dill.
Fluff with a fork to mix the dill though the rice.
Serve immediately.