I found the card - here's a link:
Gallery at Splitcoaststampers
Lace' papercutting is done with special brass stencils and a craft knife. You cut along the cut lines and then fold the pieces back on themselves; works best with double-sided paper.
Here's a link to a site where you can buy the templates - scroll down a little and you'll see basic instructions of how this works.
http://www.lainesworld.co.uk/craft/lace/
I've seen the templates in several local stamping/scrapbooking stores as well. You can try this without the template by just printing out a picture of one of them and using it as a pattern (I did this once when I was trying to figure out exactly how these work), but if you want the nice crisp, uniform lines you're seeing on the card, you'd want the templates.