I assume the horizontal pump is between bearing.
Horizontal:
The seal chamber on the suction side will usually be right at suction pressure. The seal chamber on the discharge side is likely between suction and discharge, where depends upon the use of a balance line. If a balance line is not used the pressure should be the sum of suction pressure and half the difference between discharge and suction pressure.
Vertical:
Without a balance line, the seal chamber should be at discharge pressure.
I hope this helps.