Preheat the oven to 350 degrees F. Line a baking sheet with parchment paper. Roll 1 puff pastry sheet into a 12-by-9-inch rectangle; place on the prepared baking sheet. Combine the cream cheese, egg, vanilla, and 1 cup of sugar in a bowl; beat with an electric mixer on medium-high speed until smooth, 1 to 2 minutes. Spread evenly over the prepared puff pastry sheet.
Roll the remaining puff pastry sheet into a 12-by-9-inch rectangle; place over the cream cheese mixture, pinching the edges of the pastry sheets together to seal.
Combine the pecans, butter, cinnamon, and remaining 1/2 cup sugar in a bowl. Spread evenly over the top layer of the pastry. Bake in the preheated oven until golden, about 30 minutes. Cut into rectangles, and serve warm or at room temperature.
Recipe adapted from Southern Living's "What Can I Bring?" by Elizabeth Heiskell. Reprinted with permission from Meredith Corporation.