No. You'll have access to all three services, but content offered by each service can only be watched in its own app.
If you subscribe to The Disney Bundle, you can access ESPN+ content directly through the Hulu app or on Hulu.com.
After signing up for The Disney Bundle, we will email you a personal activation link to create an account for your Disney+ and ESPN+ subscriptions. Make sure to follow this link and use your Hulu account email address to ensure a seamless activation process. You can also find the activation link by visiting your Hulu account page or by contacting Hulu support.