Let's say you're looking for something particular to do in Seoul: something mildly adventurous, with hints of cultural authenticity and some killer views thrown in for good measure. Allow us to introduce Namsan Park. By this time, you may have figured out that the "san" suffix refers to a mountain; true, but that's probably too generous a title for the 262 m hill rising out of this 741 acre green space. Regardless, this scenic hike (or cable car ride) is a favorite for both locals and travelers, culminating in some top notch panoramic vistas at the summit from places like the Palgakjeong Pavilion and, more prominently, the N Seoul Tower. The latter, Space Needle-esque landmark also boasts a few restaurants and viewing platforms, and puts on a pretty spectacular nightly light show from 7 pm until midnight.
If you're content with the view from the lower park, there are plenty of paths to meander down, as well as the traditional Namsan Hanok Village that gives a little insight into Korean life and architecture way back when. Come on the weekends and you might even catch a free Taekwondo demonstration, complete with all the board chopping you can handle. All in all, it makes for a pretty simple, rewarding experience in downtown Seoul.