A beautiful choice in this pattern!
No, the pattern does not include the edge stitch, you'll have to add 1 each time you begin and end a knit row from what I've read.
Note this located in the instructions for beginning the shawl(in bold)
Neck to Bottom
Start with 4.5mm (US 7) circular needle, at each new ball of yarn, change needle to one size larger - 5.0mm (US 8) for second ball of yarn, then 5.5mm (US 9) for third ball, 6.0mm (US 10) for fourth ball, 6.5mm (US 10 1/2) for fifth ball, 7.0mm (US 10/12 – 11) for sixth ball, 8.0mm (US 11) for 7th ball. 8th ball is used for bind off - use 8.0mm (US 11) needles for this.
CO 24 sts, knit across. Divide into halves: K12, place center-back increase marker, K12. Work back and forth in English Mesh Lace until end of first ball of yarn. Work all odd-numbered rows as inc rows: Knit into front and back of stitches at beginning and end of row, and before & after center-back increase marker.**
It increases 4 sts each row, one as you begin the knit row, one before the center stitch, one after the center stitch, then a fourth at the end of the knit row.
Hope this helps and really would love to see your project!!!