Write out the note names of a C-major scale (C-B). Underneath the letters write numbers corresponding to the letters with 1 underneath C, 2 underneath D, 3 underneath E, until 7 underneath B. This is the key to understanding the correspondence of notes to numbers: every number represents a note and its placement in the C major scale. Each number in Chinese music has a duration of one beat (one quarter-note in common time).
Study the Chinese sheet music and pay attention to the certain aspects. Chinese music is read left to right like Western music. The measures are denoted by a vertical line between the numbers. A dot above a number raises it an octave, a dot below it lowers it one. A sharp or flat has the same half-step raising or lowering as it does in Western music. A line underneath a number or pair of numbers reduces its duration by half. A dash next to a number increases that note's duration by a beat. A dot to the right of the note is a staccato mark. All other notations (slurs, dynamics, accent markings) are written as they are in Western music.
Write the Chinese music on staff paper in Western notation. Transcribe all the notes, durations and accent markings. Play though the music once to get a feel for it musically.
Play through the music only using the Chinese notation. It may take time at first, and you may have to reference the written out sheet music. As you work more and more at the skill the Chinese notation will become easier to read.