Congrats! Make sure to read the manual cover to cover. Also, you might find this guide helpful for setting up your banks.
I also use my right eye, because that's my dominant eye. The better question is... do you keep your other eye closed or open when you frame your shot?
I use my right eye. I usually keep my left eye closed, but it depends on what I'm shooting. If it's something where I need to keep some form of situational awareness, I keep the left eye open, like shooting football from the sidelines, etc but I haven't done that for a while.