If you seek a peaceful respite while you're in Seoul and are wondering where to travel to find it, I'd suggest visiting the Jogyesa Temple. We came upon it completely by accident, wandering the streets nearby, and I would put it on my list of top travel destinations while in Seoul.
The temple is the main site of the Jogye Order of Korean Buddhism (a Buddhist sect that integrates Korean Zen and textual schools of Buddhism) and plays a leading role in Seon Buddhism in South Korea. It's in downtown Seoul, near Gyeongbokgung Palace (see my post).
We stumbled upon it after a tiring day of shooting a news piece (pre-baby but this is definitely a family-friendly place to visit) and took respite on its grounds. Here's why it's so lovely:
1. Stunning architecture: All around you, above and below, there's gorgeous sights to behold.
2. Buddhism: The Jogye Order has 1700 years of history and is the most representative of Korean Buddhism so this is a great location to immerse yourself and witness the practice.
To enter the temple you have to go through first Iljum or the one pillar gate, which represents the division that separates the mortal world from the world of Buddha.
3. Temple stay: This is an interesting feature of the location, a cultural program where anyone can stay overnight and experience the life of Buddhists and learn more about Korean Buddhist history. The program also teaches people introspection techniques for finding inner peace.