http://office.microsoft.com/en-us/outlook-help/what-s-new-in-outlook-2013-HA102606408.aspx
The first thing you’ll see when you open Outlook is a brand new look. It’s cleaner, but it’s also designed to help you focus on what’s important with a clear view of email, calendars, and contacts.
Note To learn how you can start working with emails, tasks or appointments, and calendars in Outlook 2013, see Basic tasks in Outlook 2013.
Communicate
Preview messages in the message list
Know at a glance which messages to read and tackle first.
Preview messages in the message list
Respond faster with inline replies
Reply with one click by typing your response right in the Reading Pane. Or, start a Lync IM conversation for a real-time chat.
Inline Reply
Use commands in the message lists for quick action
Flag, delete, or mark your messages read or unread with handy commands in the message list.
Flag and delete commans
Also, with the All and Unread buttons in the inbox, you can focus on the messages you want.
Read and Unread
Read more:
View only unread messages
Flag incoming messages for follow-up
Delete a message
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Manage
Sneak a peek
Grab a quick glance at your schedule, an appointment, or details about someone you’re emailing—without, for example, having to switch from email to calendar or other modes.
Peek
Read more:
Keep a calendar and your appointments and meetings always in view
Keep upcoming tasks always in view
See all your contact details in one place
The People Card collects all the key details about a contact in one place: phone, email, address, company info, social media updates, even whether they’re available. From the card, you can schedule a meeting, send an instant message, or give them a call, making it a one-stop-shop for all communication.
People card
Quickly switch between the main Outlook elements
Just above the status bar at the bottom of the screen, you’ll find a clearer view of Mail, Calendar, People, and Tasks, for easy navigation.
Outlook elements
Read more: See your calendars, contacts, or tasks
Customize your Inbox
Rename the folders in your Inbox and move them around to support the way you work.
Customize inbox
One place for all your project docs and email in Site Mailboxes
Give everyone on your team access to a team folder, calendar, and task list to manage on the go, using the combined power of Outlook, Exchange, and SharePoint
Site mailboxes
Connect with Outlook.com without any add-ins
Outlook 2013 includes built-in support for Exchange ActiveSync, which means you don’t need a special connector add-in to connect to Outlook.com (formerly Hotmail). Also, if you use Tasks to plan every detail of your life, now you can sync Outlook.com Tasks with Outlook to put all those plans together.
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Find
Find what you want, when you want
Search email, attachments, calendar appointments and contacts to find the information you need fast.
Read more:
Create a Search Folder
Filter email messages
Find all messages with attachments
Will it be sunny or rainy?
You don't have to find your local weather forecast because it's right there in Calendar view, along with current conditions.
Weather bar
Read more:
Add a city to the calendar Weather Bar list
Change the calendar Weather Bar forecast city
Delete a city from the calendar Weather Bar list