As far as personal email is concerned the short answer is No! Your emails can be viewed only by you.
There is an exception for email messages that are linked to Deals or Contacts. In those cases, from the deal or contact page, other users will be able to see email messages from/to a customer that is in the CRM. Personal emails – that are not connected to an email address of a CRM contact – can’t be found by others. From a CRM point of view it is important that people in your company can see all contacts with any customer.
This kind of emails are intended to be shared. So any user belonging to the Team will be able to read emails, directly in the Email section.