Bring broth to a boil in a Dutch oven. Add carrots, celery, ginger and garlic; cook, uncovered, over medium heat until vegetables are just tender, about 20 minutes.
Add noodles and chicken; simmer until the noodles are just tender, 8 to 10 minutes. Stir in dill and lemon juice.
Tips & Notes
Make Ahead Tip: Cover and refrigerate for up to 2 days.
Tip: Place boneless, skinless chicken breasts in a medium skillet or saucepan and add lightly salted water to cover; bring to a boil. Cover, reduce heat to low and simmer gently until chicken is cooked through and no longer pink in the middle, 10 to 12 minutes.