I've done this a few times. It's not the most fun I've ever had, but I know it meant a lot to my friend (the guest of honor) that I was there, so I'm glad I went. If it's like any other shower, a lot of time will be taken up with eating, games, presents, so you won't really feel like you have to chitchat that much. If you're really uncomfortable, you can always show up a little late and leave a little early.
I would not bring my child. Unless the invitation says that children are invited, they won't be. I've never been to a bridal shower where kids have been included, even when the guest of honor has had older children. If anything, we all welcome the chance to socialize without our kids.
If you get stuck for conversation, you can always ask people how they know the bride, talk about your own shower/wedding experiences, etc.