Yes.
It's never easy to have someone we love pass on. Especially a close family member who have taken care of us when we were young or otherwise at the most vulnerable stage of our lives, whom we look up to as one of the strongest people we know.
Important thing is closure. Take time to grieve, let it out and cry. If you have another loved one you can share with, talk to them and let them know. They do not need to be empathic, its simply for you to voice out your feelings of loss.
Relive all the good and bad times. The funny times, the embarassing times, the times you made each other angry.
If you are religious, recognize that your loved ones are in a better place where they no longer suffer anymore and are free of pain. If your religion believes that the dead can hear you, talk to their tomb stones/niche/altars. Talk about the good times, bad times, last wishes. Ask for forgiveness if you've made them angry and grant forgiveness if they have made you angry.
There's no time limit to grieving, know that you will still remember and think about them after you have finished grieving. The initial grieving period could last days, months or years. It is not a sign of weakness. It is you being human.
At some point, you will start the next stage for acceptance. Fulfill any last wishes they have. Slowly, it will become less painful. Oh, there will still be occassions when it hits you hard, even years afterwards. But this will happen less often as time passes.
Live for and cherish your loved ones who are still around, including yourself. Everyday.
If you want, you can take up a hobby or other activies as a distraction. It can help.