Wanna see the sunrise/sunset view as shown in the drama? This Sowol-ro (소월로) appeared quite a few times in the drama, and it is close to Liz Balcony and Namsan Park. When I was searching for information, I found that this road will be lined with yellow gingko trees in autumn. It is nice to take a walk around this area.
This place appeared quite a few times in the drama and this screen cap is from episode 5.
Depends on where you want to start walking, you can start from Seoul station, Hangangjin station as shown in the google map below.