Did Paul ever see Jesus bodily?

No, he saw a light and heard a VOICE.

Act 9:3                And as he journeyed, he came near Damascus: and suddenly there shined round about him a light from heaven:
        Act 9:4                And he fell to the earth, and heard a voice saying unto him, Saul, Saul, why persecutest thou me?

        Act 9:5                And he said, Who art thou, Lord? And the Lord said, I am Jesus whom thou persecutest: [it is] hard for thee to kick against the pricks.

        Act 9:6                And he trembling and astonished said, Lord, what wilt thou have me to do? And the Lord [said] unto him, Arise, and go into the city, and it shall be told thee what thou must do.

        Act 9:7                And the men which journeyed with him stood speechless, hearing a voice, but seeing no man.

        Act 9:8                And Saul arose from the earth; and when his eyes were opened, he saw no man: but they led him by the hand, and brought [him] into Damascus.