How would I run updates or any installs on server core? I do see that ConfigMgr is installed from the Parent SCCM server, thanks.

Have you used the search function? https://social.technet.microsoft.com/Forums/en-US/home?category=systemcenter2012configurationmanager&forum=configmanagersecurity%2Cconfigmanagermdm%2Cconfigmanagerapps%2Cconfigmanagerosd%2Cconfigmanagergeneral%2Cconfigmanagersdk%2Cconfigmanagermigration%2Cconfigmanagerdeployment&sort=relevancedesc&brandIgnore=True&searchTerm=%22server+core%22