I am 30 and still get wistful thinking about my childhood dog we had from when I was about 8 to 20. He was approx a 3 year old dog with heart-worms when we got him, but he bounced back and lived a full life.
I was an only child who moved around a lot, and I really bonded with this dog. It's definitely a real loss and you're only one month out.
And getting another dog will never replace your old dog, but furry snuggles of help you feel better!