Your argument actually works against the idea of a eternal god that created a single non-eternal universe, just replace 'book' and 'page turning' with 'god' and 'creating universes' and see if you still think the logic works. I've taken your argument and reworded to be applicable to god. I've underlined places where I made edits.
Imagine a eternal something, like a God. The creation of a universe is a physical event. Either the creation of universes would have been endlessly occurring, or not. If not endlessly occurring, then at some fixed point in eternity, the first creation of a universe must have occurred. But this is impossible, because it would mean that for an eternity prior (for an endless period of time), no universe was created. An endless period of no universe can never end, by definition! So god must have always been creating universes (in a eternal existence)......
Basically, if you are going to argue that it's logically impossible by definition to have a first universe after an infinite past, then it must also be logically impossible by definition for your god to create a first universe after an infinite past. Either god's past is not infinite, or god created the universe an infinite amount of time ago, or your logic is flawed.
From a physics perspective you might find the concept of eternal inflation interesting. It's one way to address your concerns about an endless series of universes. My understanding of the idea is that it boils down to an eternal inflation field constantly producing universes where the universes are unable to interact with each other.
It doesn't work against God in any way, actually. The difference is that God, Himself being eternal, operates "outside of" that which He creates. So while God is eternal, nothing that He creates is eternal (endless from beginning to end), because it began to exist. Imagine that you are an eternal, all powerful being. You simply "exist". Could you create a universe at any given point in your eternal existence? Of course! And clearly, the event itself would not depend on an eternity prior. What this demonstrates is that no endless period in direct physical connection with the universe, came before it. God came before, but again, He operates outside of the physical realm.
In a mindless existence, a totality of energy and matter do not operate "outside of" (or separate from) the physical events that they cause. Rather, it is energy and matter that have to be in a constant state of change (unlike God), such that physical events can occur. So for example, if it were claimed that energy remained "frozen" (producing no physical change) for an eternal period prior to a supposed "first" change, this endless period would be directly connected to the energy itself. And this leads back to the problem: In a mindless existence, an endless period of zero physical change can never end, by definition! This negates the possibility of a "first change", and leads to the fact that a mindless existence would beg an infinite regress of physical events, which is impossible.
//My understanding of the idea is that it boils down to an eternal inflation field constantly producing universes where the universes are unable to interact with each other.//
This would actually compound the issue. You'd have the problem of infinite regression with infinite, separate universes.