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Remove the fillets from the fish (see step-by-step instructions below).
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Remove skin from each fillet (see step-by-step instructions below).
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Salt and pepper both sides of each fillet and set aside.
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Pour a splash of olive oil into a hot skillet over medium high heat.
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Place the flesh side down on the hot oil and sear for about 3 minutes.
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Carefully flip over with a fish spatula and cook about 3 more minutes.
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Add a knob of unsalted butter and allow it to melt, swirling the pan around so that both fillets get buttered.
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Turn off the heat and squeeze the juice of fresh lemon to taste.
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Remove from skillet and serve.