On outlook.com, how to remove “Focused” and “Other” see all emails

There's no specific amount of time. If you use your Outlook.com account for a while (basically showing Outlook.com that you're not a spammer), Outlook.com will figure out that you're not a spammer and automatically increase your quota.

Alternatively, you can verify your account by going to http://sms.live.com and verifying your mobile number (no need to sign up for notifications - simply verifying your mobile number will work).

1. First of all, click on the settings icon in the top-right of the screen and then More mail settings
   

2. Then, click on the Email forwarding link (under the Managing your account section)
   

3. Choose the Forward your mail to another email account option, and enter your Gmail address in the Where do you want your messages to be sent? textbox. If you do not wish the emails to be deleted when forwarded, check the Keep a copy of forwarded messages in your Outlook inbox.