Since electromagnetic waves have both electric and magnetic field components, which oscillate in phase perpendicular to each other and perpendicular to the direction of energy propagation. How much is that electric charge? Can you possibly get a shock in some way?
To answer your question,
- Electromagnetic (EM) waves carries no electric charge at all. EM waves originate from electromagnetic disturbances, and according to Maxwell's equation, changing electric fields gives rise to magnetic fields, and changing magnetic fields gives rise to electric fields, and so on. That's how EM waves propagate.
- You can get a shock if EM waves are strong enough (i.e. the oscillation amplitude is large, which is unlikely), and you have a loop of wire which radius and the EM wavelength are of same order of magnitude. That's how antennas and hypothetical EMP weapons work.