Peel one side of the zucchini into thin ribbons using a vegetable peeler. Then flip over and peel the other side until you have wide, thin "noodles". You can use the rest of the zucchini to make zucchini bread!
In a large bowl combine olive oil, lemon juice and zest, honey, salt and pepper. Add the zucchini and toss.
Transfer zucchini to a platter, top with burrata pieces, basil, mint, and chopped hazelnuts. Top with additional salt and pepper, if desired.