If you are thinking on visiting some other places rather than Seoul, Gyeongju (경주시) might be a good choice. The city offers many historical sites from the Silla Dynasty such as Seokguram Grotto, Bulguksa temple, the Royal Tomb Complex, the Cheomseongdae, which is one of the oldest astronomical observatories in East Asia and the Anapji royal pond garden. I have been to all of these sites before and they are all interesting, but if you have limited time, I recommend visiting these three: Anapji, Seokguram and Bulguksa. I wish I had photos of all of these attractions, but the first time I was there I had a really old camera and the photos are not presentable. This time we picked the day with the worst weather and it was raining cat’s and dog’s by the time we were finished with Seokguram and on our way to the Tombs. All sights are in the open and it was not worth getting soaked in the rain.
My favorite Buddhist Temple in Korea is located in Gyeongsangbuk-do (경상북도) and is called Unmunsa (운문사/ 雲門寺) or “Cloud Gate Temple” in English. It might be less known among foreign tourists, because it is not easy to reach. However I love this temple especially because of it’s beautiful location amid lush forests and mountains. There are buses going there from Daegu Nambu Terminal and from Cheongdo Bus Terminal, but it is more convenient to go there by car and enjoy some great scenery along the way.