How to Forward Windows Live Hotmail to Gmail
To redirect all your new incoming Outlook.com mail to your Gmail account automatically:
Log in to your Outlook. com account. Click the Settings icon at the top of the screen (it resembles a cog). At the bottom of the Settings pane, click View all Outlook settings to launch a full-screen settings window. Select Mail > Forwarding from the two left navigation panes to expose the forwarding-address setting. Check the Enable forwarding box and type your Gmail address in the box. To preserve a copy of the message in your Outlook. com account, select Keep a copy of forwarded messages. If you leave this setting unchecked, Outlook will redirect without saving.
Gmailify as an Alternative to Forwarding
Instead of forwarding from Outlook.com, you can also import Outlook.com into Gmail using Gmailify. From within Gmail, the Gmailify tool supports account-import and send-as features, so you’ll still be able to respond to Outlook.com emails as your Outlook.com email address, but from within Gmail’s familiar interface.