Season the chicken breast evenly on both sides with sea salt, black pepper, and dried oregano.
Heat the olive oil in a medium skillet over medium-high heat and sear the chicken for 5-6 minutes per side until golden and cooked through, then remove to a plate to rest.
In the same skillet, melt the ghee and add the minced garlic, sautéing for 30 seconds until fragrant.
Add the dry basmati rice to the skillet and stir for 1 minute to lightly toast the grains.
Pour in the chicken broth and lemon juice, bring to a gentle boil, then reduce heat to low and cover with a tight-fitting lid.
Simmer the rice for 15 minutes, or until the liquid is fully absorbed and the rice is tender.
Remove from heat and stir in the frozen peas, fresh parsley, and fresh dill, then cover and let sit for 5 minutes to steam the peas.
Slice the rested chicken breast and serve it over the fluffy lemon-herb rice pilaf.