Braising green beans is a time-honored technique. Here, the tender beans are also infused with wonderful garlic flavor. The long cooking time robs the beans of some of their bright emerald color, but they taste so good that it hardly matters!
Place the oil and garlic in a large saucepan or Dutch oven. Heat over medium-low heat to gently warm the oil and cook the garlic. Watch carefully, because the garlic can burn very quickly!
Add the green beans, 1/2 tablespoon of salt and enough water to almost cover the beans. Cover and cook at a slow simmer until the beans are soft and tender, 20 to 30 minutes, depending on the size and freshness of your beans.
Drain the beans and toss with half of the lemon juice and the dill. Season to taste with sea salt and pepper, adding more lemon juice, if desired. Serve hot.