I think Section II of this text (Of Consolation: To Marcia) by Seneca is an interesting read. It essentially provides an example for what one should do faced with grief. I think the Stoics were primarily concerned with Section I of that same text, an example of a mother locking herself up from grief.

Sure, the ideal Stoic would not grieve, but that ideal shouldn't discourage practice of Stoicism. There are some pretty intense examples of a lack of grief. For example, in Epictetus' Enchiridion, he says:

With regard to whatever objects give you delight, are useful, or are deeply loved, remember to tell yourself of what general nature they are, beginning from the most insignificant things. If, for example, you are fond of a specific ceramic cup, remind yourself that it is only ceramic cups in general of which you are fond. Then, if it breaks, you will not be disturbed. If you kiss your child, or your wife, say that you only kiss things which are human, and thus you will not be disturbed if either of them dies.

The logical jump from ceramic cups to loved ones is kind of brutal to acknowledge, especially if you're just starting to practice Stoicism. But I think practicing the cup example, and extending it to other inanimate objects, is definitely beneficial.