This piece is a classic example of American popular sheet music from the early 1900s transcribed for piano. Its distinctiveness comes from its clear, accessible structure and catchy, syncopated folk-like phrasing.
The main technical challenge is ensuring the lightness of the left hand accompaniment against the syncopated melodic line.
Comparable difficulty and character — good candidates for what to learn next.
'Cross the Great Divide 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 'Cross the Great Divide lasts about 3 minutes.
'Cross the Great Divide 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 Broadway Baby Dolls by George W. Meyer, 'Cause I'm in Love by Walter Donaldson, Altenglischer Weihnachtstanz by Walter Niemann — see the full similar-pieces list on this page.