Season the fish fillet with salt and pepper on both sides.
Heat olive oil in a pan over medium heat. Add the fish fillet and cook for about 4-5 minutes on each side until cooked through and lightly golden. Remove from the pan and set aside.
In the same pan, add butter and garlic. Sauté for 1 minute until fragrant.
Pour in the white wine and lemon juice. Let it simmer for about 3-4 minutes until slightly reduced.
Return the fish to the pan and spoon the sauce over it. Cook for another minute to warm through.