I would not remove the stock right away ...its better done / in the quiet of you're shop at home ...and not "quickly" ...since you probably have not taken the stock off too many O/U's ...
For a Browning O/U - you need to remove the recoil pad ( there are 2 screws set down into the rubber ) ....and with an adj comb ...you need to remove the adj comb ...then using a supplied long allen wrench ...loosen the stock bolt.
For a gun without the adj comb --- you need about a 12" long screw driver ..and you need to file the tip of the screw driver to fit the slotted bolt head holding the stock to the receiver. but again ...slowly...
Browning has a tendancy to get the bolts really tight ...sometimes too tight...there might even be some blue locktite on some of them. If the screw driver or allen wrench don't fit very tightly you risk tearing up the bolt head ...and if you don't hang onto the stock real tight ( in a good soft towel ) ...its possible to even crack the stock at the head where it goes into the receiver... so this needs to be done "Carefully" and with " Patience" ...its not a place where "bigger hammers work better"...
Its easy to remove the stocks ...and yes, it needs to be done ...and clean and lube the actions inside ......( but there rarely is much preservative inside the actions on Browning O/U's / and I've bought several new Browning O/U's over the years). But yes, in general - I remove my stocks on all 15 or so Browning O/U's I have - if I shoot them at all ...twice a year.
But, if I don't shoot that gun ......guns that I've taken stocks off of ...and they're sitting in the safe for one of the kids / grandkids down the road ...as long as I'm confident there is no condensation in my safe ---then I won't take them off again until I'm ready to service them before I give them to one of the kids.
I take the stocks off my guns whenever I shoot them in heavy weather -- to thoroughly dry out ...so a rainy or snowy day in the field / or a sporting clays tournament or whatever... dry them out, clean them / and lightly oil them ( Rig Oil or Rem Oil ) ..and very light on the oil ...no oil running .../ lube the stock bolt ...( and clean the bolt - and the receiver where the bolt goes ) ...and put the bolt back in "snugly" but not overtight. Do not get a pair of vice grips or something on the screw driver or wrench ...just snug it up / and give it a "touch more" ....you don't want it to loosen upon firing / but I've never had one do that...
But don't do it this week .../ even I wouldn't remove the stock if I bought the gun and took it to the range the same day .../ I'd do it after I got home from the range. I'd have a pair of snap caps with me tomorrow --- and test the firing pins.../ but my hunch is, everything will be just fine...