Follow this:

You may also want to look at this:  http://www.builditon365.com/Pages/DesignandEditiing.aspx

Hello Teechain,

This is Jason Burnside from Microsoft Office365 SharePoint Support.

Thanks for coming to the communities with your concerns about editing your public-facing website.

Did you find Ken’s information helpful? Thanks for the post Ken.

To get to edit mode for your public-facing website, please follow these instructions:

1. Login through the Microsoft Online Portal
2. Click the Admin tab and click Edit Website or click on the Team site link and then click on the website link
3. Choose which page you would like to edit on your public-facing website and put a check mark next to it and click the edit option in the ribbon

Or

1. Click Member Login on your website
2. Login, if needed
3. Click on the Website link
4. Choose which page you would like to edit on your public-facing website and put a check mark next to it and click the edit option in the ribbon

I will continue to monitor this thread if you have any additional questions.