Pretty shawl! Stocking stitch is stockinette stitch, just a different name. The directions start by knitting back and forth so that you would alternate knit and purl rows here, starting with a purl row, then knit row etc.
"It says cast on 3 sts. can use provisional cast on and knitting back and forth, work 4 rows in STOCKING stitch, starting with a purl row. "