Most Honda carbs have small brass screws in the bottom of their bowls which are easily accessed and loosened (you don't really need to take them out completely) from one side of the bike or the other.
Some older ones might have a brass bolt which you need to remove instead, either way this will let the gas flow from the carbs so either catch it in a container or do it out doors.
Leave your gas tap "OFF" so only the bowls drain.
Now put the brass bolts or screw the brass screws back in, turn on your gas at the tank and see if it starts now.
Sometimes just letting the floats drop like this will clear the wee float valves and allow normal operation to resume, minute bits of rust/crap from your tank or the gas station's tanks get into our bikes this way, not much you can do about it.
Don't forget to put your spark plugs back in first.
To check for spark next time and avoid the nasty shock, lay the plug against the engine metal and that will act as an earth instead of you.
