Heat a small saucepan of salted water over high heat until boiling. Add the trimmed green beans and cook for 1 1/2- 2 minutes. Drain immediately and immerse the green beans in a bowl of ice water; drain and set aside.Side Note: The ice water will stop the cooking process and will help the green beans maintain their beautiful green color.
Heat the butter and olive oil in a skillet over medium heat. Add the minced garlic and cook, stirring constantly, for 30 seconds.
Add the green beans and season with sea salt and freshly cracked pepper, to taste. Toss the green beans until evenly coated.