Yes, the primary account of the Microsoft 365 family can potentially view the internet history and cloud storage of other family members under certain circumstances. Family members under a Microsoft 365 family subscription can have their activities monitored and managed by the primary account holder, who has administrative privileges. However, it's important to note that this monitoring is intended for parental supervision and family safety purposes. Users should review and understand the privacy settings and controls available within Microsoft 365 family to ensure the appropriate level of privacy for each family member.