If your 1996 S-10 Blazer's AC system is new or has been recently serviced and is not working properly, the problem isn't a lack of oil. The issue could be:
* Refrigerant leak: This is the most common problem. A leak needs to be found and repaired by a qualified technician before refrigerant can be added.
* Compressor failure: A faulty compressor is a possibility.
* Other component failure: The condenser, evaporator, expansion valve, or pressure switch could be malfunctioning.
You should take your vehicle to a qualified automotive air conditioning technician. They have the proper equipment to diagnose and repair AC system problems, including identifying leaks and adding the correct amount of refrigerant (if needed). Attempting to work on an AC system yourself can be dangerous due to the high pressures involved and the use of refrigerants that are harmful to the environment and your health.