Preheat the oven to puff pastry package directions while the puff pastry thaws.
Prepare a baking pan with either greased parchment or a silpat. Place thawed, unfolded puff pastry on prepared pan and pierce with a fork to prevent the pastry from getting too large. Bake for 5-8 minutes, or until the pastry has puffed and just started to brown. (The pastry will likely puff up larger than you'd like, but it will deflate when you start topping it.)
When you've pulled the pastry from the oven, let it cool for just a moment, and then spread the goat cheese on, leaving about a 1/2 inch on the outside as your "crust".
Neatly line the sliced nectarines on top of the goat cheese until the top of the pastry is completely covered.
Cover the top of the nectarines evenly with apricot preserves and put the dessert into the oven for another 8-10 minutes, or until the nectarines start to soften and the preserves start to set.
Remove from oven and let cool. Cut into approximately 9 pieces and serve. Refrigerate any leftovers. Not that you'll have any.