Begin by preheating your oven to 180°C (350°F).
Take a large mixing bowl and blend together the softened butter, granulated sugar, and light brown sugar until the mixture becomes smooth and creamy.
Add the egg and vanilla extract into the mixture, ensuring thorough mixing.
In a separate bowl, combine the all-purpose flour, baking soda, and salt, whisking them together.
Gradually introduce the dry ingredients into the wet mixture, stirring until a cookie dough forms.
Gently fold in the chocolate chips, making sure they are evenly distributed throughout the dough.
Grease a 10-inch skillet or an ovenproof frying pan, and transfer the cookie dough into it, spreading it out evenly.
Place the skillet or pan in the preheated oven and bake for approximately 20-25 minutes, or until the edges turn golden brown and the centre remains slightly gooey.
After removing it from the oven, allow the cookie to cool in the skillet for a few minutes.
To serve, enjoy the warm chocolate chip skillet cookie directly from the skillet or pair it with a scoop of ice cream.