Crack eggs into a medium mixing bowl. Add milk, salt, and pepper. Whisk till combined and pale yellow. There should be a few air bubbles formed on the surface from whisking.
In a medium rimmed skillet, heat butter over medium-low heat. Add the eggs.
Allow sides of the eggs to loosely set and pull in the sides to form the scrambled eggs.
When eggs are about half done (still runny, but forming solids), add the blue cheese and bacon to the eggs. Keep pulling in the sides of the eggs till eggs are set and cheese is partially melted (blue cheese will not typically completely melt).
Remove from heat, serve, and enjoy with buttered toast.