A conformal map projection is like taking a picture of a big round ball and flattening it out so that you can see it all at once. Imagine you have a big balloon that has pictures and words on it. But it's hard to read all the words because they're all curvy and squished together.
So you take a special camera that takes a picture of the balloon and flattens it out onto a piece of paper. This way, you can see all the words and pictures on the balloon clearly. You can read them without any curvy or squished parts.
This is what a conformal map projection does with our big round Earth. It takes the Earth's curved surface and flattens it onto a map. This way, we can see everything on the Earth very clearly. We can see all the continents, oceans, and countries without any distortions or curvy parts.
The cool thing about a conformal map projection is that it keeps angles and shapes the same as they are on the Earth. This means that if you look at a city on the map and then go to that city in real life, it will look the same as it did on the map. This is really helpful when you're trying to plan a trip or navigate somewhere new.