Only individuals and organizations you choose to connect with will have access to any information. Members of your household will have access to your personal profile, as well as be able to view who is in your support network. 

Your emergency contact(s) has access to your personal profile, including medical and family info. 

Emergency contacts for your dependents can access their profiles, but not the profile of any legal guardian, unless they are also listed as an emergency contact for that legal guardian.