The only electricity on the EVSE plug prior to the car asking for it is a +/-12vdc square wave...nothing that will hurt you. Only once it is plugged in and the car asks for it will the EVSE turn on the high voltage acv (on most EVSEs, you'll hear a clunk when the contactor - a relay, turns on). There is NO high voltage (120/240vac) on the plug until that happens. And, the EVSE has a built-in GFCI - that will trip when the current exceeds about 5mA (about 0.005A) to ground or through you or where it is not supposed to go, way too little to hurt you before it turns off. Most places where (at least in the USA) you might want to plug in the occasional use EVSE (garage, outdoors) also are required to have a GFCI protected outlet, so you'll have two of them in series...one or the other will work to protect you, if some weird situation occurs. IOW, it's basically a no-brainer - do not worry about it. Those on the EVSE self-reset (at least those I've seen).
Almost all of the EVSEs out there (if not all) are rated for outside use in the weather...that means rain, snow, sleet, whatever.
I would NOT run the car around town with the charging door open or take off and not use the dust cap as some people have suggested...I think that's just asking for issues. I've lived out in the desert southwest of the USA, and a dust storm, then maybe a car wash, and that dust can become almost like cement and really difficult to remove, possibly preventing you from even plugging the charge cord in! Or, throw in salt in the air if you live near an ocean...not good for electrical contacts.
