I am so sorry for your loss. Losing pets are like losing family members, truly. Wishing you and your family well during your time of recovery. Just know that your pup will always be watching over you, and they wouldn't want you to be sad forever. When I lost my dog years ago, I was devastated, but after a long while of mourning, I decided I would use her as inspiration to do better in my life. I hope that you will one day be able to do the same.
As others have said, the process is very difficult, and it is a decision only you can make. Everyone grieves differently, but there is no set time for someone to get a new pet. Mine passed nine years ago and I haven't gotten a new one since, but my grandmother has had cats pass and gotten new ones just a few weeks later. It can really help people get through the grieving process, so if you do decide to go through with it, I will wish you the best of luck & happiness with your new furry friend!