Cut and arrange veggie sticks on platter. If you want to cut down on chopping, many veggies can be store bought already cleaned and cut for dipping.
In a food processor, combine basil, parsley, garlic, lemon zest and juice and grind into a paste. Add nuts and cheese and grind again to combine them into the paste. Pulse in the olive oil until it is combined. Transfer to a small dish and season the sauce with salt and pepper, to your taste. Set dipping bowl on veggie platter and serve.