Brush both sides of the zucchini ribbons with olive oil and season with salt and pepper.
Prepare a grill for direct grilling or preheat a grill pan.
Grill the first side of the zucchini for 2-3 minutes. You are just looking to char the zucchini a little and soften it. Flip the zucchini and cook the second side for an additional 2-3 minutes.
Add the zucchini and cannellini beans to a bowl along with the pesto. Stir to thoroughly combine and coat.