Losing your Dad is a brutally hard thing for a Son. I know the feeling well as I lost my Dad when I was only 25 years old. He was only 52 yrs old and prostate cancer took him from us in a very short time frame. I come from a VERY close family and my Dad was everything to me so I was totally devastated by his passing. At the time me being young and so impacted by losing him I handled it the wrong way. I drowned my sorrows in a fifth of vodka a day and spent the next 10 years in & out of bars, jail, bad relationships and just down the wrong road.
I got lucky and finally after years I realized (better late then never) that I was not handling it the proper way. So I'm now a recovering alcoholic, and even quite smoking 7 yrs ago. It's been just over 21 yrs since we lost dad and I still miss him every day, but it is something I have come to accept now and can handle it in a way that is not self destructive.
I won't lie to you and say it'll get better soon, because when you lose someone you truly love then it does not get better for awhile. What I can tell you is it will get better a tiny bit at a time as long as you try to go forward with your life. Week by week and month by month you'll have a little be more acceptance of it. It's not easy but just try to use mindfulness and focus on simply what is going on in the exact minute and not the next minute or next hour or next day. After a while you'll notice you still miss him greatly, but you'll be able to accept it and appreciate the time you had with him and continue on with your life like he would want for you.
I wish you the best.