Cut the stem, and 1 inch off the top of the artichokes. Trim the outer leaves using scissors. Cut the artichokes in half lengthwise. Use a knife to carefully core out the hairs from the center of the artichoke.
In the area where the hairs were, place half of garlic clove in each section. Drizzle with olive oil, squeeze lemon juice over the artichokes, and sprinkle with salt.
Flip the halves over so the cut side is flat on the pan. Slice second lemon and lay the slices flat in the pan as well. Roast in oven for 35 minutes.
When the artichokes are done, transfer them to plates.