Bring a small pot of salted water to a boil and cook the brown rice pasta according to package directions until al dente.
While pasta cooks, pat the salmon fillet dry with a paper towel and season both sides with sea salt and black pepper.
Heat the olive oil in a non-stick skillet over medium-high heat. Place the salmon skin-side down (if applicable) and sear for 4-5 minutes until the skin is crispy.
Flip the salmon and cook for another 3-4 minutes until the internal temperature reaches 145 degrees Fahrenheit, then remove from the pan and set aside.
In the same skillet, add the minced garlic and baby spinach, sautéing for 1 minute until the spinach is just wilted.
Drain the pasta, reserving 1 tablespoon of pasta water. In a small bowl, whisk together the Greek yogurt, lemon juice, lemon zest, and fresh dill.
Toss the cooked pasta and spinach with the yogurt sauce, adding the reserved pasta water if needed to reach a creamy consistency.
Plate the lemon-dill pasta and top with the pan-seared salmon fillet.