1. Cook pasta according to the package directions, omitting salt and fat. Drain.
2. Remove greens and stems from beets; rinse and drain. Coarsely chop greens and stems to measure 4 cups. Peel beets, cut in half vertically, and cut into 1/8-inch slices.
3. Heat a large skillet over medium-high heat. Add 1 tablespoon oil to pan; swirl to coat. Add beets; sauté 3 minutes. Add beet greens and stems, 1/2 cup water, broth, salt, and pepper; cover. Reduce heat to medium; simmer 8 minutes or until beets are tender.
4. Combine remaining 1 tablespoon oil, basil, almonds, and garlic in a food processor; process until smooth. Add cheese and remaining 1/4 cup water; process until blended. Add pasta, pesto, and lemon juice to beet mixture; toss to combine.