Photo: Seoul Parks (Seoul Metropolitan Government)
관악산공원
Mountain & trail · Gwanak-gu
Mount Gwanak spans Sillim-dong in Gwanak-gu, Siheung-dong and Doksan-dong in Geumcheon-gu, and Anyang and Gwacheon in Gyeonggi-do. When Gwanak-gu was split from Yeongdeungpo-gu in 1973, the name of the famous 629m peak became the name of the district
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Source: parks.seoul.go.kr
Seoul Education Science Center
FreeMuseum · Nakseongdae Stn. (Line 2)
A free science center next to Nakseongdae. With an astronomical observatory and an ecology greenhouse, it fills half a day with kids.
Seoul National University Museum of Art
FreeArt gallery · Seoul Nat'l Univ. Stn. (Line 2) + bus
Contemporary art for free in a cantilevered building designed by Rem Koolhaas. Combine it with a campus stroll.
Seoul National University Museum
FreeMuseum · Gwanaksan Stn. (Sillim Line)
Excavated artefacts from major sites including Jeongok-ri in Yeoncheon, Osan-ri in Yangyang, Heunam-ri in Yeoju, the Goguryeo fortresses around Achasan, and the Seokchon-dong Tombs and Mongchontoseong Fortress in Seoul, along with the Geunyeokhwahwi albums compiled by Oh Se-chang.

Nakseongdae Park
FreePark · Nakseongdae Stn. (Line 2)
A park on the birthplace of General Gang Gam-chan. Pair the blue-tiled Anguksa shrine with the free exhibition hall.
Gwanak Central Library
FreeLibrary · Gwanaksan Stn. (Sillim Line)
Public library in Gwanak-gu. Free entry and reading, with heating and air conditioning.
Saemmal Park, Gwanaksan Neighborhood Park Saemmal Zone
FreePark · Gwanaksan Stn. (Sillim Line)
At the foot of Gwanaksan in Daehak-dong, Gwanak-gu, the area known for the Sillim-dong exam-cram district, private land left to unauthorized farming and rubbish was bought out and opened to the public in 2009 under the neighborhood hillside park project. Since olden times
Bukhansan Dulle-gil Trail
FreeGangbuk-gu · Bukhansan Ui Stn. (Ui-Sinseol Line)
A 21-section loop that runs gently below the ridgeline, with no summit climb involved. The Ui-dong pine forest path is a favourite with beginners.
Inwangsan Jarak-gil Trail
FreeJongno-gu · Dongnimmun Stn. / Gyeongbokgung Stn. (Line 3)
A barrier-free boardwalk loop past the dramatic rock faces painted in Inwang Jesaekdo. Links to the Hanyang City Wall trail for panoramic city views.
Bugaksan Hanyang City Wall Trail
FreeJongno-gu · Gyeongbokgung Stn. (Line 3) + bus
A historic walk along the fortress wall that once ringed Seoul. Easier to reach since the opening of Cheong Wa Dae, with city views from Baegakmaru.
Ansan Jarak-gil Trail
FreeSeodaemun-gu · Dongnimmun Stn. (Line 3)
Korea's first barrier-free loop forest trail. The boardwalk suits strollers and wheelchairs, with deep shade from pines and metasequoias and a tunnel of cherry blossoms in spring.
Achasan Ecological Park
FreeGwangjin-gu · Achasan Stn. (Line 5)
A gentle low mountain ideal for beginner hikers, with superb views of the Han River and Seoul. The native plant garden and butterfly garden are free.