1. Process garlic and next 3 ingredients in a blender 15 seconds. Add basil and olive oil. Process 2 minutes or until smooth, stopping to scrape down sides as needed. Season with salt and pepper to taste.
2. Cook green beans in boiling water to cover in a small saucepan 3 minutes; drain. Cook pasta according to package directions, adding potatoes during last 5 minutes of cooking; drain.
3. Toss together pasta and potato mixture, green beans, and pesto sauce in a large bowl. Serve immediately.