Can I hide a detail app/page on a H/D application? If so, what is the best way to do so?

I have an H/D application, that has a single detail application. For one use case, I need the ability to hide the detail app/page and only allow users to enter header information. What is the recommended way to accomplish this?

Yes you definitely can. You can do it through a logic block, so you can tie it to an event like Form Init or Field Value Change dependent on what your use case is for hiding that detail

Do I find the name of the page on the H/D app of the Detail app?

Yes, you should be able to find the information you need in the Header Detail Application.