Season the chicken breast evenly with half of the sea salt and black pepper.
Heat the extra virgin olive oil in a medium skillet over medium-high heat until shimmering.
Place the chicken in the skillet and sear for 5 to 7 minutes per side until golden brown and the internal temperature reaches 165 degrees Fahrenheit.
Remove the chicken from the pan and let it rest on a cutting board while you prepare the rice.
In the same skillet, add the diced yellow onion and sauté for 3 minutes until softened and translucent.
Add the minced garlic and dry basmati rice to the pan, stirring for 1 minute to lightly toast the grains.
Pour in the chicken broth and lemon juice, scraping the bottom of the pan to release any browned bits.
Bring the liquid to a boil, then reduce the heat to low, cover with a tight-fitting lid, and simmer for 15 minutes.
Remove the pan from the heat and let the rice sit covered for 5 minutes before fluffing with a fork.
Stir in the lemon zest, chopped parsley, fresh dill, and the remaining salt and pepper.
Slice the rested chicken breast into strips and serve immediately over the warm lemon-herb rice pilaf.