I don't think either has it any easier per se. Each gender faces different issues.
I definitely feel that girls have a harder time with receiving the intimacy and passion they desire, and I also (contrary to popular belief) think that more girls are sexually frustrated than men are. This is mostly due to social standards that kind of embed certain attitudes and expectations in us.
Women have more options though, which I suppose is an advantage. But they are looked down upon for testing out their options.
Society has made sexuality and relationships pretty fucked up in my opinion. All sorts of mental anguish caused by social conventions but hidden under the guise of natural.
Asking girls out is way easier than asking guys out. Men can be prudes, they're sooo picky too. I think girls are more easygoing and they're not as rude when they reject you lol. That's my experience anyways lol
As I've said before, I don't think women have it easier in dating. Sex, yes. Dating, it's about equal since women are more susceptible to "pump and dump" and have other problems.
Dating as a girl, in my opinion, looks pretty awkward. There's a much greater threat of being led on as a girl than as a guy. I recall a saying, "Men have trouble getting the first date; women have trouble getting past the first few dates." In some sense, I think the latter is worse because the heartbreak is more severe, but the compensation is that women get a lot more initial attention.