Yes you can! If you want to be informed when a book is added to your favourite series then you can follow them. To do so, you simply tap "Follow" up top on the series page.
You will now get a notification on your phone if a book is added to the series. You can always find all the series you are following under "Home". Here you see the header "Following" where you can see all your series. From this series list, you can also go directly to the different series.
If you want to stop following a series, you go to that series page and tap "Following". The button will now change back to "Follow" and you can choose to follow the series again at any time.
To receive these series updates, you will have to allow notifications from BookBeat. You can do this under "Profile". Read more about notifications here.
At the moment you can only follow series and not authors or narrators. We are hoping that we can add more possibilities in the future.