Not a bedbug. Many immature bugs will look similar, but bedbugs are truly wingless and won't have the wing pads on the back of the body.
I was sitting outside at a restaurant eating and got bit by this insect. Any thoughts on what it might be?
Based on the size and shape of the body, I would guess it is related to the seed bugs (superfamily Lygaeoidea). Many of them will bite but few result in more than a minor irritation.