I wouldn't recommend laser for genital electro, because laser only gives permanent reduction, not permanent removal, and you don't want ingrown hairs later on, even if it's just the worry that they may appear. It's tough, but it has to be done if the surgeon requires it (not all do, and it varies by case). I know, because while I got away from having to get facial electrolysis, I had to spend two agonising years having genital electro as the surgeon would not operate unless I'd had it done.
You can use EMLA cream to take the edge off the pain but it's effectiveness is patchy, sometimes, it completely numbs it, sometimes it's not effective at all. If possible, having the injection is better because there is no pain and the electrologist can work more efficiently, but as others have said, the actual injection itself is no fun, but it's what I had towards the end of my treatment because it was taking so long.