It is not worth trying to measure it, because in terms of relative humidity it will be very high - 100% without a molecular sieve filter (by definition, more in a moment), and probably well over 80% at best with a small size one, and probably to about 70% or so with a bigger one. While that sounds like the filter is not doing a lot, the key is that it is drying the air enough to get it below the condensation point with either one.
I've written a lot about this and will link to more detailed info if you want it, but the key is that when air is compressed, the ability to hold moisture as vapor is reduced - so water comes out as liquid, and what remains is as a vapor. The condensation occurs because the air charge's temperature becomes the dewpoint for those pressurized conditions, so what is left is the vapor that "does not need" to condense out, leaving you with 100% humidity air, but no further condensation. The desiccants don't remove that much more in practice, but the amount they remove becomes critical if the air charge is hot as it leaves the pump and will cool down later - which is the case with powered compressors.
With a hand pump, if you do like
@beerthief says and pump slowly then you won't have an issue - because if you pump at a rate of about one stoke every three seconds or slower, the compressed air charge will cool down in the base of the pump (as they are designed to achieve) and the condensation will occur there and not in your gun. Of course along with slow pumping, you have to keep your sessions short in terms of the number of strokes too, as each one adds heat to the base. So go slow, and keep the count under around 50 strokes or so - when you hit about 50 strokes, stop and vent the line and then let the pump cool for 10-15 minutes before resuming. This will keep moisture out of your gun regardless of how humid the air is where you are pumping.
This is why I made a point of using my guns such that I did not need to refill with more than about 50 stokes (after a few to charge the line some) back when I used to use a handpump - my shot count was defined by that parameter, unless I wanted to have my shooting impacted by waiting for the pump to cool.
Here is more on the physics of moisture in air. if you are interested.
https://www.airgunnation.com/threads/moisture-in-pcp-airguns.1321274/page-2#post-1839770