Preheat your oven to 375°F (190°C).
Season the chicken breasts with salt and pepper.
Heat olive oil in an oven-safe skillet over medium-high heat.
Sear the chicken breasts for 3-4 minutes on each side until golden brown.
Remove the chicken from the skillet and set aside.
In the same skillet, add chicken broth and bring to a simmer.
Stir in the boursin cheese until melted and combined.
Return the chicken to the skillet, coating it with the sauce.
Transfer the skillet to the oven and bake for 15 minutes.
Garnish with fresh herbs before serving.