1 bunch (about 1 pound) carrots, scrubbed and patted dry
2 teaspoons grapeseed oil or other high-heat oil
1/2 teaspoon salt, divided
1 tablespoon dill, minced
1 tablespoon fresh lemon juice
1/8 teaspoon freshly ground black pepper
Trim tops and any fibrous ends from the carrots and cut crosswise into pieces approximately 3 inches long. Cut any thick ends in half lengthwise, so all pieces are about 1/2- to 3/4-inch thick. (If you are using an outdoor grill, see note below.) In a bowl, toss with the oil and 1/4 teaspoon salt.
Preheat grill pan or grill over medium-high heat. Place carrots cut-side down on the grill and cover. (Use a big pot lid or a metal sheet pan as a grill pan lid.) Grill for 4-5 minutes, until the carrots develop sear marks and are beginning to soften. Flip, cover, and grill for another 4-5 minutes. Carrots will be softened with a bit of crunch in the middle.
Transfer the carrots to a bowl. Mix in remaining 1/4 teaspoon salt, dill, lemon juice and pepper. Serve warm or at room temperature.