Prepare a large bowl with ice water. Place cauliflower in a large pot with an inch of water and a teaspoon of kosher salt. Bring to a boil and steam cauliflower for 3-4 minutes until crisp tender. Drain in a colander and immediately plunge cauliflower in ice water.
Drain cauliflower and transfer to a clean kitchen towel to dry off a little.
Fit the grater attachment in a food processor and gently grate/shred the cauliflower. It will look like barley or rice. Transfer to a serving bowl.
Stir in remaining ingredients and toss to combine. Taste for seasonings, especially if you allow this to sit. You may need an extra pinch of salt.