Is this an Outlook.com email address through Microsoft, or a work or other personal account running in Outlook on your computer?
If it's just your personal setup on your computer, that's all just being stored locally on your computer, so you'll need an app or a service that installs on your computer that will have a sister-app on your tablet that will sync everything that way, just search the Play Google store.
If it's a company-run Microsoft Exchange account, then the options to enable/disable syncing for email, contacts, calendar, and tasks under Settings > Accounts.
If it's Outlook.com email, I think the Microsoft Outlook Android app from the Play store should allow that syncing.