Rinse couscous under cold water until water runs clear.
In a saucepan over medium heat, bring the broth to a boil. Add couscous and simmer for 8 - 10 minutes, remove from heat and cover with a lid. Let sit for 10 minutes, then fluff with a fork. Drain excess broth if needed. Then run under cold water to cool.
Once cool, mix in the yogurt, carrot, and dill. Season with a pinch of salt and pepper to taste and serve.