Welcome! That sounds like a somewhat ambitious swap. A 95 would have had the 4t60e, which has the shifts controlled electronically. Outside of physically fitting in the engine bay, I can’t see any of the existing electronics functioning with an LS4.
On the flip side…it’s an LS4. I know there are aftermarket companies that make ECMs that can run LS series engines, as well as standalone TCMs specifically for the 4T80e, so finding the parts to run the powertrain should be possible, and likely relatively easy as well.
Best of luck! While ambitious….it would be awesome to see something like this completed!