I mean just look at it....
The Blue House is also known as Cheong Wa Dae... which literally translates to pavillion of Blue tiles. The house is not really just one singular house, but an entire compex of buildings that cover around 62 acres of land.
See even Google says that the name is Pavilion of Blue Tiles
Satellite image of The Blue house and every building on the 62 acre plot
The site where it is built is actually the site of the royal garden of the Joseon Dynasty. If that era sounds familiar, then you have probably watched Rooftop Prince.
Some of the preserved ancient buildings from the Joseon Dynasty
Just think... in the Joseon Dynasty there was no Blue House. But a glorious palace with beautiful gardens surrounding it.
Joseon Dynasty art
If you are ever able to go to South Korea. There are tours available of the Blue House. Check out their very comprehensive website. You can even see what the president is doing. Albeit, he is not blogging his artwork like in City Hunter, but he is out and about.