This is the second of Satie's famous atmospheric piano set characterized by minimalist harmonies. It is distinctive for its static, dreamlike quality and its deliberate avoidance of traditional resolution.
The primary challenge is maintaining a consistent, ethereal tone while balancing the voicing of the melody against the repetitive accompaniment.
Comparable difficulty and character — good candidates for what to learn next.
Gymnopédie No. 2 is rated Henle level 4 of 9 — intermediate repertoire, roughly ABRSM grades 5–6. In the RCM system it corresponds to about level 6.
You should be comfortable at Henle level 4 — meaning you can already play level 3–4 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Gymnopédie No. 2 lasts about 3 minutes.
Gymnopédie No. 2 is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include Gymnopédie No. 1 by Erik Satie, Gymnopédie No. 3 by Erik Satie, Gnossienne No. 1 by Erik Satie — see the full similar-pieces list on this page.