It sounds to me like a mixture of an e-book and a journalling program. Looking at the minimum specifications (peanuts) they’re just selling some text and a simple database, as I said. It seems to be based on Jungian philosophy.
This is unlikely to be very complicated at all. Perhaps they have a list of nouns, verbs and names and they’ve written down their own dreams. Anything which appears in your dreams a lot (as you’ve written them down) and more than in their corpus (text) will have questions asked about it. Or something similarly simple.
It’s far cheaper in the UK.
Their website is really, really bad. Just looking at that page: why is the Home link broken? Why is there a “logoff” link when I’m not logged in? What’s this login for, anyway? Why do I have to login to read about their product? Can I register?