Preheat oven to 375°. Spray 12 (2¼-inch) fluted tartlet pans with cooking spray.
In the work bowl of a food processor, combine pine nuts, cheese, garlic, ½ teaspoon salt, and ½ teaspoon pepper. Pulse until a fine paste forms.
On a lightly floured surface, unroll dough. Using a 3½-inch round cutter, cut 6 rounds from each dough sheet. Transfer each round to a prepared tartlet pan, pressing into bottom and up sides. Using the wide end of a chopstick, gently press dough into indentations in sides of pans. Trim excess dough. Using a fork, prick bottom of dough in each tartlet pan a few times. Place tartlet pans on a rimmed baking sheet. Freeze for 15 minutes.
Spread 1 tablespoon pine nut paste into bottom of each prepared tartlet pan.
Using a vegetable peeler, cut very thin ribbons of zucchini and yellow squash. (Trim ribbons as necessary to remove any seeds.)
Starting at one end, tightly roll up a yellow squash ribbon. Place rolled up yellow squash at the end of a zucchini ribbon, and tightly roll up zucchini ribbon, encasing squash roll. Press roll into pine nut filling in bottom of a prepared tartlet pan. Using desired pattern, wrap yellow squash and zucchini ribbons around roll in center of tartlet pan to create a rosette, pressing gently into filling to secure. Repeat with remaining yellow squash and zucchini ribbons and tartlet pans. Place prepared tartlet pans on a rimmed baking sheet.
Brush vegetables lightly with 1 tablespoon olive oil.
Bake until tartlet crusts are golden brown, 18 to 20 minutes. Let cool on a wire rack before carefully removing tartlets from pans. Serve at room temperature within 2 hours.
Just before serving, in a small bowl, whisk together remaining 1 tablespoon olive oil, lemon juice, remaining ½ teaspoon salt, and remaining ½ teaspoon pepper until combined. Drizzle over tartlets.
Notes
MAKE-AHEAD TIP: Pine nut paste can be made 5 days in advance, stored in an airtight container, and refrigerated until needed.
Recipe by TeaTime Magazine at https://teatimemagazine.com/summer-squash-tartlets-recipe/