Steps to Enable Global And Local Navigation Link Using Office365 For Blog Site

Here are the steps, 

Step 1: Create SharePoint Blog site using Office365.
  1. Go to Office 365 SharePoint Admin Center.

  2. Select New tab, then Private Site Collection.

    office 365 SharePoint Admin Center

  3. Select “Blog” template for Site Collection.

    Private Site Collection

  4. Check Blog site collection properties as in the following screenshot,

    Blog

Step 2: Blog Site User Interface

Check Blog site collection

Step 3: Enable Publishing Site Collection feature

Site Collection Feature

Feature:

Enable Publishing Site

Step 4: Navigation option enable under Site Settings, then Look and Feel.

Feature

Step 5: Go to structure navigation and Add Global navigation link as in the following screenshot,

Site Setting

Global Navigation:

Add Global navigation

Step 6: Go to structure navigation and Add Current navigation link as in the following,

Navigation

Step 7: Final Output

Add Current navigation