Bring a large saucepan of salted water to the boil. Once boiling, add the pasta and cook according to the packet instructions.
Add the kale to the pasta pan, along with the garlic clove. After about a minute, use a pair of tongs to remove the kale and garlic, along with a cupful of the pasta water.
While the pasta continues to cook, add the kale and garlic to a blender, along with half the peas. Add the basil, mint, olive oil, lemon juice, nutritional yeast (or Parmesan) and 4 tablespoons of the reserved pasta water. Blend until smooth, then taste and adjust the flavour and texture as needed. You want the sauce to be entirely smooth, but not too runny. If it’s too runny, you can add more peas, herbs or cheese to thicken.
When there are just a few minutes left of the pasta’s cooking time, throw the broccoli and remaining peas into the pan to cook. Drain the pasta and veggies in a colander, then return them to the saucepan. Pour half of the green sauce over the top and stir.
Divide the remaining sauce between 4 plates and spread out into round puddles.
Top with the pasta, then scatter over the toasted nuts, along with some fresh mint leaves and a grating of Parmesan or some nutritional yeast. Finish with some lemon zest and freshly ground black pepper.