Heat the oil over medium-low in a medium saucepan (with a lid). Add the onion, cooking until softened and translucent (about 3-5 minutes).
Add the garlic and cook for 30 seconds until fragrant before adding the rice. Toast the rice, stirring frequently, until the rice turns white and pearly. Take care not to burn the rice, onion, or garlic (2 minutes).
Once the rice is toasted, stir in the lemon zest, oregano, dill, and salt. Stir well and cook for 30 seconds until the spices are fragrant before adding in the chicken broth. Do not stir.
Bring the rice to a simmer, then cover with a lid and reduce the heat to the lowest setting. Cook for 15 minutes. Remove from heat and let it rest for 10 minutes without removing the lid.
Once the rice has rested, remove the lid and fluff the rice with a fork and stir in 1 tbsp of lemon juice. Adjust salt to taste and serve.