Is it possible to display the timeline of my 24/7 scheduler?

This is possible with the LightcastAPI. When going to the LightcastAPI in your Media Cloud account, you should find the "NowPlaying" action under "Channels". If you have developers on board, they should know how to use the API and retrieve these actions for you.

The LightcastAPI allows you to retrieve a daily scheduler of up to 90 days.