Short answer: We don't know exactly what Jesus looked like. But The Urantia Book provides enough word pictures to allow our imaginations to conjecture what he might have looked like.
To gain a much better understanding of this answer, read the following:
Joseph was a black-eyed brunet; Mary, a brown-eyed well-nigh blond type. (122:5.5)
His 16th Year
This year he attained his full physical growth. He was a virile and comely youth. He became increasingly sober and serious, but he was kind and sympathetic. His eye was kind but searching; his smile was always engaging and reassuring. His voice was musical but authoritative; his greeting cordial but unaffected. Always, even in the most commonplace of contacts, there seemed to be in evidence the touch of a twofold nature, the human and the divine. Ever he displayed this combination of the sympathizing friend and the authoritative teacher. And these personality traits began early to become manifest, even in these adolescent years.
This physically strong and robust youth also acquired the full growth of his human intellect, not the full experience of human thinking but the fullness of capacity for such intellectual development. He possessed a healthy and well-proportioned body, a keen and analytical mind, a kind and sympathetic disposition, a somewhat fluctuating but aggressive temperament, all of which were becoming organized into a strong, striking, and attractive personality. (127:1.2)
His 25th Year
Jesus was one of the most robust and refined specimens of manhood to appear on earth since the days of Adam. His physical development was superb. His mind was active, keen, and penetrating—compared with the average mentality of his contemporaries, it had developed gigantic proportions—and his spirit was indeed humanly divine. (128:6.2)