How do I get over the death of my dog?

Your "just a dog" was obviously much more than that, she was an important part of your family and mourning her loss is as normal as mourning the loss of any other family member. Some people get another dog right away, which I have done, and others wait quite a while before getting another, which I have also done. Sometimes it is easier to move on than others. I think the ASPCA.org site has a grief counseling section. It might help to go there to try to find some comfort. I'm very sorry for your loss.