Here's your new chicken dinner, complete with sides.
Preheat oven to 450 degrees. Let chicken stand at room temperature 30 minutes.
Meanwhile, in separate batches, blanch fresh peas and snap peas (or just snap peas, if using frozen green peas) in a medium pot of salted boiling water until bright green and just tender, 3 to 4 minutes. Transfer to an ice-water bath; let cool completely. Drain. Slice snap peas in half on the bias.
Pat chicken dry and transfer to a large ovenproof skillet. Rub all over with 1 tablespoon oil. Season with salt and pepper. Roast until chicken is golden and a thermometer inserted into thigh (avoiding bone) registers 160 degrees, about 45 minutes. Transfer to a cutting board and let rest 10 minutes before carving. Loosely tent with foil to keep warm.
Skim fat from skillet; discard. Whisk lemon juice and 1/4 cup oil into skillet, then season with salt and pepper.
Heat broiler. Arrange bread on a rimmed baking sheet and toss with remaining 2 tablespoons oil. Season with salt and pepper. Broil, tossing occasionally, until toasted, about 2 minutes.
In a large bowl, combine toasted bread with both peas. Drizzle with lemon dressing and toss to coat. Arrange bread salad on a platter and top with chicken and pea shoots; serve.