I bought the Unlimited with the Dual Top option so YES, I do have the Premium Soft Top if the website info below is accurate.
More info per Jeep website:
"The 2013 Jeep® Wrangler Unlimited 4x4 offers the ultimate in capability without compromise. Unlimited has room for five and provides all the versatility and cargo capacity you need for your next adventure. Wrangler Unlimited delivers with a Sunrider® Soft Top with easier operation. Or, choose the premium soft top material for an upgraded appearance (packaged with Dual Top option). New for 2013 is a convenient Lift Assist feature that cleverly uses torsion to help ease the lowering of the top. Nice. Select the body-color Freedom Top® hardtop option on Sahara and Rubicon for an upscale appearance.
I bought the Unlimited with the Dual Top option so YES, I do have the Premium Soft Top if the website is accurate."