This Béarnaise is a character piece written in the tradition of French salon music. It is marked by its light-hearted melodic profile and clear, uncomplicated phrasing.
Focus on maintaining evenness in the rapid sixteenth-note patterns in the right hand.
Comparable difficulty and character — good candidates for what to learn next.
Béarnaise is rated Henle level 3 of 9 — late beginner repertoire, roughly ABRSM grades 4–5. In the RCM system it corresponds to about level 4.
You should be comfortable at Henle level 3 — meaning you can already play level 2–3 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 Béarnaise lasts about 3 minutes.
Béarnaise 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 Bonjour printemps by Georges Bachmann, Berceuse sur un air populaire by Georges Bachmann, Berceuse by Georges Bachmann — see the full similar-pieces list on this page.