Jullien's work reflects the grand, opulent style of the mid-19th-century ballroom tradition. It is notable for its sweeping lines and the sophisticated use of harmonic shifts within the waltz form.
Use a subtle rubato to enhance the elegance of the dance rhythm.
Comparable difficulty and character — good candidates for what to learn next.
Bridal Waltz is rated Henle level 4 of 9 — intermediate repertoire, roughly ABRSM grades 5–6. In the RCM system it corresponds to about level 5.
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 Bridal Waltz lasts about 5 minutes.
Bridal Waltz 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 California Quadrille by Louis Antoine Jullien, Piano Sonata No. 16 in C major by Wolfgang Amadeus Mozart, 12 Variations on "Ah vous dirais-je, Maman" by Wolfgang Amadeus Mozart — see the full similar-pieces list on this page.