This is a salon-style polka characteristic of the mid-19th-century American parlor music scene. It is musically distinctive for its lighthearted, dance-oriented structure and idiomatic writing for the amateur pianist of the era.
Maintain a steady, crisp rhythmic pulse throughout the polka sections.
Comparable difficulty and character — good candidates for what to learn next.
Bright Eyes Polka is rated Henle level 2 of 9 — beginner repertoire, roughly ABRSM grades 2–3. In the RCM system it corresponds to about level 3.
You should be comfortable at Henle level 2 — meaning you can already play level 1–2 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 Bright Eyes Polka lasts about 3 minutes.
Bright Eyes Polka 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 By Moonlight by Thomas H. Rollinson, Blumenwalzer by Léon Jessel, Bluin' the Blues by Henry Ragas — see the full similar-pieces list on this page.