Melt butter and oil together in a nonstick pan over medium heat. Add white parts of green onions and cook for 1 minute. Stir in garlic and lemon zest. Cook and stir until fragrant, about 30 seconds. Add rice. Season with turmeric, salt, and pepper. Cook and stir for 1 minute.
Stir vegetable broth, milk, and lemon juice into the pan with the rice mixture and bring to a boil, about 5 minutes. Reduce heat to a simmer, cover the pan, and cook until liquid has evaporated, 18 to 20 minutes.
Remove pan from heat. Fluff rice using a fork and adjust seasonings accordingly. Garnish with green parts of green onions and chopped dill.
