Create a view showing users, and use a contextual filter on
User:UID, and set 'Provide default value' the the 'Currently logged in user'.
You then should create two Relationships. The first on
User:blog_subject will relate the user to the taxonomy terms. The second, using the first, will be on
Taxonomy Term: Content using Blog Subject which will then relate the term to the content. Both relationships should be 'Required'.
Once the relationships are in place, delete the 'User Name' field that is a default for the type of view you created, and add the
Content:Title field displayed as a link to content. Add filters like
Content:Published to eliminate un-published content and a sort by, for example,
Content:Post Date (desc). All of these fields will be using the relationships. Make sure you delete all the
User:... filters and sorts.
With multiple terms possible, this may create duplicate rows. There are two approaches you can use. The simplest is to go to Advanced > Other and configure the Query Settings to 'Distinct'. This might work. The other is to list the term and Set the view to Group By the term. That way you will get a list of pages that conform to each subject. If a page appears multiple times, it will do so under separate subject lists.
This should show a list of content matching the interests of the current user.