Bring a medium saucepan of salted water to boil over the stovetop. Add pasta, and cook as per packet instructions. Before it has finished cooking, carefully remove ½ cup of pasta water and keep aside for the sauce. While that's cooking, add to a food processor the cooked beetroot, garlic (removed from their skins), 60g goats cheese, the remaining olive oil (1 Tbsp), 1 Tbsp lemon juice and a few turns of the salt and pepper shaker. Process until it looks like a chunky red-purple pesto. Add ¼ cup pasta water and blend again. Taste test and add more S&P or lemon juice if desired.
Put pasta back into the saucepan and add sauce. Add a splash more of the pasta water and toss the sauce through. Taste test and add more S&P if needed.
Squeeze the remaining lemon juice (around 1 Tbsp) over the rocket and toss to coat.
Divide rocket and pasta between two serving bowls. Garnish the pasta with a sprinkle of goat cheese and walnuts. Drizzle over a dash more olive oil, if desired. Enjoy!