Crack the two eggs into a microwave-safe mug and whisk them until well combined.
Add your choice of chopped veggies to the mug, along with a pinch of salt and pepper for seasoning.
If desired, mix in some shredded cheese for added flavor and creaminess.
Microwave the mug on high for 1-2 minutes, keeping an eye on it to make sure it doesn't overflow. The cooking time may vary based on your microwave's wattage.
Once cooked, carefully remove the mug from the microwave (it will be hot!) and let it cool for a minute before enjoying your omelet.