In a food processor, combine beans, tahini, garlic, lemon, salt and pepper. Place the lid on the food processor and pulse while slowly drizzling in the olive oil.
Continue until hummus is smooth. Add more oil, if necessary. Taste and adjust seasonings.
In a clean food processor, combine olive pesto ingredients and process until a chunky paste forms, scraping the sides of the bowl as needed. Place hummus in a serving bowl and top with pesto. Serve on a platter with veggies and pita wedges.