I went there after being rather unhappy with a museum visit. This place saved the day as it was a wonderful way to learn about more recent Korean history and understand how things moved there. The mixture of old traditional style Korean architecture with what came to be more fashionable once Korea was influenced by the west is a interesting sight to observe. By all means that time to sit and watch, observe the landscape.
Though I did find it annoying that for the museum you needed to buy an extra ticket, so I didn't go.