You can collect a portion of it called a widows pension if you two were married, he was getting it before he died. If he has minor children all of them will receive S.S. until they are 18 or finish school, or all the schooling they want until they are 21.
Yes, you can receive part of his Social Security. You can receive it because you are a widow. If he wasn't receiving Social Security, before he passed away, you aren't eligible to receive it. You can check out the Social Security website and all of your questions can be answered.