Grilled Zucchini Ribbons with Pesto and White Beans

to 1 1/2 pounds zucchini, thinner longer ones are ideal here

Olive oil

Coarse or kosher salt

Freshly ground black pepper

lemon

(from 1 15-ounce can) small-to-medium-sized white beans, drained (I used – Goya’s Great Northern beans)

garlic clove, peeled

bundle of basil (this is the small clamshell size at most groceries)

to 2 tablespoons white wine vinegar

Coarsely grated parmesan,