If I own a home and put my daughter's name on the deed and then I die shortly after, does the home have to go thru probate?

The probate process is intended to clear title to real property if someone leaves it in their name alone on their date of death.  In the scenario you have submitted, you will have left your daughter on the deed.  Assuming you have left her either as a joint tenant or a beneficiary deed then it is unlikely she will have to go to probate to clear title.  If however, she is put on as a tenant in common then it would have to go through probate to clear your interest.