At the risk of sounding stupid, have you tried wikipedia?
First Chechen War is also recent enough there should be lots of news reports/archive footage on youtube, like this archive footage from AP:
If you are looking for how people understood the conflict as it unfolded, looking at the archives of a 'newspaper of record', like the New York Times (or whatever an equivalent is in your home country) can be very useful. I believe the UPI archives since 1990 are all online for free:
https://www.upi.com/Archives/1995/01/19/Yeltsin-Let-Chechen-war-be-lesson/2159790491600/