Preheat your oven to 400°F (200°C) and line a small baking sheet with parchment paper.
Trim the woody ends off the asparagus and toss the spears with 0.25 tbsp of olive oil, a pinch of sea salt, and black pepper.
Roast the asparagus for 12-15 minutes until tender and slightly charred.
While the asparagus roasts, pat the salmon fillet completely dry with a paper towel and season with the remaining salt, pepper, and dried dill.
Heat the remaining 0.25 tbsp of olive oil in a non-stick or cast-iron skillet over medium-high heat.
Place the salmon in the pan and sear for 4-5 minutes without moving it to develop a crispy crust.
Flip the fillet and cook for another 2-3 minutes, adding the minced garlic to the pan during the last minute of cooking.
Remove from heat, drizzle with fresh lemon juice, and serve immediately with the roasted asparagus.