I'm running the trial version of FCP. I've been creating a project to test out the capabilities and twice now the project has disappeared when I reopened FCP. Is this normal for the trial?

It is a bit unclear if the project actually disappear or if you are having trouble navigating the application interface.

Don't take this the wrong way, there is a learning curve and some things often trip beginners, I have been there too.

I suggest you take some time and follow the excellent free tutorial by Izzyvideo. It will make a lot of things clear and will avoid many moments of frustration. Izzy is a wonderful teacher and you can follow along.

I think it will help you a lot.