How to get the Page Name of the current page?

On mobile, I want to display what page my users are on. I have 6 top pages at the moment.
Home, Projects, Blog, Contact, Privacy Policy and Impressum. Both Projects and Blog have posts in them. Projects is a custom post type as well.
When a user clicks on Contact, title should change to contact. If they go to Project and click on a post, the title should say projects. I hope I make it clear.
I don’t mind working with if statements either if that’s a solution.

Is it possible to add a dynamic link in the main navigation in a child theme

My client would like to have a link to the most recent post in the main navigation, but still be able to manage the navigation through the dashboard as usual. I did not find a plugin that will do this task, so I may need to custom code it. I could add it into the child theme, but I don’t think it would should up in the dashboard menu where they could move it to a different order, if they want.