My daughter is 12 and this is just starting for us as well, so I feel your pain.
First.... I absolutely think there is a double standard. In life.... not just in teen dating. But I only have a girl, so I may be biased. However, I know that my friend who has a son is worried about these girls who throw themselves at her son - and I've seen it. He sits on the couch. They sit practically in his lap. So, I think it actually occurs on both sides.
They key is teaching ANY kid who is getting in to dating how to not get in over there head. I don't think you can do that by forbidding them... it's here and it's here to stay. Might as well teach them how to go about it safely.
Why don't they "double" with bro and his gal? There does tend to be safety in numbers.
The only thing I can tell you is that I started asking a ton of questions.... instead of giving a ton of advice when my daughter was asked out on a date a few months ago (yes, at 12) to a movie and dinner, no less (by a 14 year old who rides the same bus). I played it like I was curious.... but really I wanted her brain to start working again.... because it had seriously stalled......
I started with - ooooo exciting.... how are you going to get there? Oh, do you think you should ask him? And.... now, I"m not really sure how this works anymore, cuz I'm old.... does the boy pay? Do you split the cost? Oh, you're not sure either? hmmmmm do you think you should talk to him about that? Now, you don't have a ton of money.... how much do you have? Oh, $20. will that buy dinner and movie? Yeah, it depends on where you go.... how will you talk to him about that? Oh, yeah, I can see where that would be a tough conversation to have... money stuff can be tricky..... Now, when I was dating kids held hands at the movies and stuff.... do kids do that now? Oh, you're not sure either? I wonder what his expectations are...... do you think you should talk to him about that? Oh? You don't want to? I know, these conversations can be tough..... do you think you should be dating, though, if you don't have the confidence to even talk about the plans? Yeah, maybe you should wait a bit.
Now, she's 12.... so I could buy myself some time with that train of thought. But, in your daughter's case I might ramp it up.
If he drives.... what happens if he gets sick.... how would she get home? What will she do if he wants to "do stuff" that she's not comfortable with.... what is her plan, how will she handle it? etc etc. That might get her thinking with her brain instead of her hormones/heart.