Preheat the oven to 400 degrees F. Heat the olive oil in a 12-inch cast iron skillet over medium heat. Add the diced broccoli, sweet potato (make sure this is diced into small pieces that will cook quickly), and onion. Cook for 10-15 minutes, stirring occasionally, until the sweet potato is fork tender.
In a large bowl, whisk together the eggs, pepper, and salt. After the veggies are done cooking, pour the eggs into the skillet. Sprinkle the crumbled goat cheese on top. Turn off the stove and wait 1-2 minutes until the bottom of the eggs set in the warm skillet.
Transfer the skillet to the preheated oven using an oven mitt. Bake 15-17 minutes or until the eggs are cooked through. Enjoy warm!
You can store leftovers in an airtight container in the fridge for up to 5 days. Reheat in the microwave for 1 minute on high.