When the AC system has been off (not running) for a while, the freon pressure evens-out throughout the entire system. When the AC system is running (compressor is clutched and turning), the "high pressure side" and "low pressure side" are created by the compressor.
With the compressor running, the low-side pressure should be in the neighborhood of 15 to 40 psi or so - it depends on the outside temperature and humidity. There are tables available on the internet that you can look up such as the one I've linked below. Internet tables are approximate - the tables in the GM service manual are best (assuming you are still running R-12).
http://www.ackits.com/aacf/ptchart.cfm
When the AC systems has not been running for a while, the freon pressure measured at either port (low or high side) will be the same. Based on my experience, a fully charged system will show at least 70 or 80 psi at both ports when the system has been off for a while. If you are getting 36 psi with the AC system off for a while, you are definitely low on freon.
When low on freon, the low-side pressure switch on the receiver/dryer will sense the too low pressure and send a signal to shut the compressor off. This is done to protect the compressor and prevent freezing conditions in the evaporator. You can jump the swtich to override it, but you should only do it for a short time for diagnosis and to help charge the system with a can of freon attached to the low-side fitting.
Bottom Line: You need more freon.
Good Luck,