I know there's a thing in resources linking to a google sheets for doing comparison of IGT live. But is there a program that does this where you can input times live in it?

I’m not sure what you are asking but that Google spreadsheet is what we all use to put our times in when doing live runs.

You could also use livesplit but that spreadsheet is a better choice.

Someone should make a program for it and someone actually told me LiveSplit can do it with manual game time, but it's not great to add live quickly.

Someone did make a program to auto input IGT in the spreadsheet but afaik, they couldn’t get it to be 100% accurate