Depends on how good your electrical supply is. Where I live, no need. If you have surges, the EVSE would be the least of your concerns. I would worry a lot more about all your other appliances and electronic devices.
Also, I would not leave your EVSE plugged in, except when in use. They do draw some power, even when not in use, although not a lot. I also have that breaker shut off.
One thing to keep in mind, and this is very important. NEVER unplug the EVSE at your source receptacle when charging. Unplug it at the car first after stopping the charge. They carry a fairly high current (32A) and you don't want it arcing as you unplug, as that can damage the plug and receptacle. The car won't let you unplug its end until the charging stops. Several ways to do it, but most cars stop charging for about 15 secs if you just unlock the door, with your FOB or at the door, or even by phone. And there is an emergency shut off switch under the hood if all else fails. There are also communication leads in the plug itself, so when you pull it out (if you can), it shuts the main power leads down first to avoid the arc. Same with when you plug it in. Power doesn't start until after the plug is seated.