You can easily get to Microsoft Outlook.com from the MSN homepage:
In MSN for Windows 8, click or tap the Outlook.com tile next to today’s weather.
Click or tap Outlook.com at the top of the page.
Go to the Outlook.com module on the lower right side of the homepage, and then click or tap Sign in.
If you’re signed in, you'll see how many unread messages you have. To open an email message, click or tap Show, and then click or tap a message.
About Microsoft accounts
A Microsoft account is an email address and password you use to sign in to all MSN and Microsoft sites and services, including Outlook.com and the Windows Store. A Microsoft account also gets you in to other Microsoft sites, such as Xbox LIVE and Office 365.