If she wears an insulin pump, she is pretty much free to eat anything you guys would normally eat. Insulin pumps give diabetics sooo much freedom when it comes to food choices.
I would just ask her if there is anything she prefers to stay away from being a diabetic. It's different for everybody, really. There are some foods ("trigger foods") that don't agree with my blood sugars, but other diabetics are fine with them. I do try and stay away from things that are overly sugary so I don't have to give myself so much insulin, but as long as she is giving insulin for the things she eats, she can have whatever.
As far as low and high blood sugars, it may take some getting used to for you guys to notice the signs. When my blood sugar is low, I feel tired, shakey, I get pale, and may not make much sense. It kinds of mimics someone who is very drunk. When my blood sugar is high, I get very thirsty, I have to go to the bathroom a lot, and I can get annoyed with people. That is one thing I think a lot of people don't understand and it is good when others know. Sometimes diabetics get upset and can be difficult to be around when blood sugars are wacky. It's not an excuse for poor behavior, but it helps that my friends understand why I get irritable sometimes. It may help to ask her if there is anything she prefers to use when her blood sugar gets low and then you can keep that in the house. Personally, I use capri sun juices and glucose tablets.
I can't think of any restuarants in particular you should avoid. McDonalds, fast food, and pizza makes my blood sugars really wacky though.
As far as children getting it, it's actually pretty rare for type 1 diabetes to be passed along to your kids, but there is always a chance that it could be. It's really not that big a deal though. Kids who grow up with it usually deal better with it than kids diagnosed later (I was diagnosed at 4 1/2 and no one in my family has a history of type 1 diabetes). You son will probably always have to be mindful and may have to make very minor adjustments to his lifestyle, but really if she has good control of her blood sugars than he will not have to be a constant "nurse" to her. By minor adjustments, I just mean possibly having to wait for her to raise her blood sugar should they do some activity like hiking/biking/etc, some possible diet changes, and there will def be lots of doctor appointments through the GF's life, especially if she decides to have children.
I wouldn't feel too awkward about asking questions of her though. Most people I know who have Type 1 diabetes have never minded talking about it. In fact, I love educating people about it. If you still feel like you will be prying, feel free to PM me or ask me here. I could even give you my personal email address. It definitely is a little bit different dating someone who has type 1 diabetes, but if the person has it under control, it's really not too different!