As someone who has lost both my parents, I know I grieved differently for each parent. It is a very individual thing, and there is no set path.
Many Students will experience loss while at university, and for many, it will be the first time, Student Minds have a wonderful section of information dedicated to supporting students through grief and loss. It covers everything from what grief is to how you can support others that are experiencing it. Take a look at the full guide here.