In a medium saucepan, heat the quinoa with 2 cups water until boiling. Reduce heat, cover and simmer until all the water is absorbed and quinoa fluffs up, about 15 minutes. Quinoa is done when the seeds have sprouted. Set aside.
Heat a large pot of water to boiling and add the broccoli. Cook just long enough to take the raw taste out and until broccoli is bright green. About 90 seconds. Drain broccoli and rinse with cold water to stop broccoli from continuing to cook. Set aside.
To make the broccoli pesto, puree 2 cups of the cooked broccoli, garlic, ⅓ cup of the almonds, ⅓ cup of the parmesan, salt and lemon juice in a food processor. Drizzle in the olive oil and cream and pulse until nearly smooth.
Just before serving, toss the quinoa and remaining broccoli florets with the broccoli pesto. Taste and you might decide to add more lemon juice or salt at this time. Add the remaining ⅓ cup parmesan cheese and taste. Add more if you like.
Spoon mixture onto serving platter or plates. Add toppings of your choice. I highly recommend the sliced avocado and liberal amounts of the red chile oil.