Exposing it to room light is not going to do much for you, other than result in a black sheet of film.
You could try running a part of an unexposed sheet through your process, to ensure that it isn't fogged.
I'd shoot a sheet or partial sheet it in-camera, develop, and see what you get.
The name "Ilfolith" would lead me to believe that it is a lith (or graphics art) film.
Lith films (in my [limited] experience, seem to fall somewhere from the single-digit ISO numbers up through 25-ish or a little higher. Shoot it around ISO 8 or ISO 16 and see what you get. They are high contrast to very high contrast, so you'll eventually need to compensate for that in development. I've had great luck with Caffenol LC (coffee-based developer), but I've found that Dektol at half the strength you'd use for paper works well.
So, in all, I'd say develop an unexposed strip to see what you get, shoot a piece in-camera, and develop it in your paper developer for testing. From there you'll have to tweak!
It's probably safe to assume that this film can be used with a red safelight, and can be developed by inspection.
Good luck!
I'm expecting that others with more experience will add to, correct, or prove me completely wrong, as some people here have alot of experience in this field.