Now that your skillet is seasoned, it's time to show it off! You can cook your egg however you like (omelet, scrambled, fried)--it just needs to not stick and be fried in the pan!
Generally, it's good to get your pan heated before you crack the egg on it. That helps it not stick. Medium heat tends to work well for me when cooking an egg.
Put a bit of butter or other oil in your pan. You don't need much. Wait until the oil is hot enough that a drop of
water sizzles on the oil in. Now crack your egg in! Depending on your egg, you might want to turn the heat down to medium-low (duck eggs tend to do better at lower temps), but, some people like their eggs crispy, so cook your egg the way you want!
Here's a
video of an egg sliding merrily around in Paul and Jocelyn's pan.