The scarf is begun with a provisional cast on and the lace edge chart in worked once to the end to complete the first lace edge. Next, cast on stitches are picked up and the remainder of the scarf is knitted to the opposite end, adding the second lace edge.

Here are links to helpful video tutorials developed specifically for this pattern:

Beaded Lace Edge Scarf Overview
Provisional Cast On
Reading a Chart
Adding Beads with a Crochet Hook
Knitting a Double Decrease