I'm sorry for your loss.
I was 15 when my first dog died, a beagle named Jocco. My parents got him when I was 1yr old and he was only 6 weeks so we basically grew up together. When he died I thought I never wanted another dog again because I missed him so much. But then a year later one of my relatives dogs had puppies and I was over the house everyday playing with them. I even bonded with one of them and I could of taken him but I was starting school and it wouldnt be fair not to be able to spend time with the little guy. But because of that unexpected experience and being around puppies that need you I realized that it was ok for me to get another dog and I would someday. For the past 16 years my life has been pretty hectic with school, starting a career and moving to a new state. Now I am finally settled and have loads of time to share with a dogs loving heart.
Jocco will never be replaced and he is still missed, but me and my mom still share stories about him (my living room rug is one that he got sick on numerious times) and there are pictures on my fridge of him. He'll always be with us, just not physically.
It's different for everyone I'm sure but I think the addition of a new pup in your home will help lessen the sadness of the one that has been lost.