The fiberglas is virtually radar transparent. No protection at all.
As I covered above, you should follow the safety standards, which include not placing persons in the beam path of the radar. In most commonly seen radars this is a horizontal line from the dome outward, about +/- 15 deg ( ie: a 30 deg vertical beamwidth ). Those vessels with the radar mounted in front of the upper steering station do not follow this ( imho, excellent ) advice. Further, it is at the very least polite to turn off the radar when docked, so that you do not cook your neighbors. On my boat, this includes dropping the radar scanner to "standby" when someone is on the bow, tending the anchor ( they are in the beam path, at about 2 or 3 meters ).
Properly used, there should be very little risk. But, as with most things, improper use may significantly increase the risk.
( Note: at best my response should be considered an amateur opinion. )
--edit--
Just noticed dauntless post...
I have not done the radiation safety worksheet on the VHF radio, but I would expect that the risk from that to be greater than that of the radar. You definitely want the vertical radiating element ( antenna ) to be above the heads of any/all aboard. Placing the "broadside" of the antenna at the same level as persons is rough on people ( and for that matter, all of your other electronics! Compass, too! )