Guess I wasn't so weird when I commuted. Real rain, I stayed home. Not like you can paint the outside of a house in the rain. 20% chance of rain must mean something else in other climates. Here it means no chance it rains wherever you are. That's because of the urban heat bubble. You'd see the storm steer around the hot air rising from the town asphalt.
I was driving at least 2 days a week anyway, pretty hard to carry 50 gallons of paint, or 1000 pounds of concrete on a bike. So I often picked a day with less perfect weather to drive.
Back to your situation, you shouldn't really have to cover the whole bike. But nothing wrong with that. It might be more vulnerable to blowing down if covered.
Assuming you have a typical kit, you can seal up the plugs near the controller somehow. Also some rain gutter sealant can be used on the seams of the controller box. Then as a second line of defense, the whole bundle of plugs can be covered some with tape, a baggie, etc. The hubmotor, that should be fine if you have a drip loop on the wire.
That leaves the throttle. Riding in the rain, I cover the crack between the throttle body and the grip with my palm. This works well with a half twist or full twist. Parking it is easy, a baggie over the throttle and a rubber band so it doesn't blow off.
Rain gear to ride, you will want a good rain shell and rain pants if cold. If really hot, riding wet in shorts might feel great. Some kind of eye protection, a 30 mph raindrop stings the eye. A hat under the helmet can help too, so you have a longer visor.
Shoes will just get soaked. Spare socks and shoes at work a great idea.
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:lol: 
