Place cauliflower in a pot with water to cover; bring to a boil. Cook until tender, about 6 minutes. Drain; transfer to a food processor.
Cut zucchini into noodles using a spiralizer.
Heat oil in a skillet over medium-low heat. Add garlic; cook and stir for 1 minute. Transfer garlic to the food processor, reserving oil in the skillet. Add almond milk, lemon juice, flax seeds, parsley, basil, salt, pepper, turmeric, and sriracha sauce to the food processor; blend until smooth.
Heat reserved oil in the skillet. Toss in zucchini noodles; cook and stir using tongs, 3 to 5 minutes. Season with salt and pepper. Add spinach and stir until wilted, about 2 minutes. Add peas; cook and stir until heated through, about 2 minutes.
Transfer zucchini noodle mixture to a large bowl. Pour in almond milk sauce and toss to combine. Garnish with Parmesan cheese.