The bow, if it exists, is the problem that you want to remedy with bedding.
Sometimes a new rifle in factory configuration will have no bow. When you get lucky and find one of these, it will pass the aforementioned test. Neither the gap between the barrel and forearm nor the gap between the tang and rear stock area will change perceptibly when you do the test. In this case, the two contact points are on the same plane. You then bed this rifle as is, and the main goal of bedding on this particular rifle is to eliminate "slop" in the fit between receiver and stock so that the receiver only has one home. It can only lay in the stock in one position, even after each "recoil shock".
Other times, the two contact points are not on exactly the same plane, and the gunsmith can see or feel slight changes in the "seam gap" when the test is performed.
If you feel the gap between the barrel and forearm increase, this suggests that the rear contact point is lower than the front. The act of tightening the rear screw is putting a downward bending force on the tang area, with the front screw contact point being the fulcrum. To fix this, the smith would either sand/grind down the stock at the front contact point until the rifle passes the test, or, build up the rear by (prepping and) epoxying a shim in place.
Alternate scenario: If you lay the rifle in the stock and it seems to rest properly on both contact points, but you feel that the act of tightening the front screw is applying a downward bowing force to the front of the receiver, then the front contact area may be lower than the rear, and you would take opposite action. This scenario is a little trickier to perceive. When one tightens a stock screw, it should find home and "hit the wall" (get tight) suddenly. The "wall" exists because the receiver is laying "flat" in the stock bed, and the screw "gets tight quickly" because the screw is compressing the receiver surface against a well-matched stock surface. If however the screw gets snug but takes another half turn at "snug" before it gets tight, then the screw is trying to flatten the receiver against a poorly-matched stock surface. This is occurring because the front and rear contact points of the stock are not on the same plane. If they are both flat but not on the same plane, then they are forming a "step", and the screws are trying to mate a flat receiver to a stepped stock.
I thought if you tighten down one side completely before tightening down the other side actually causes a bow.
Not if the contact points are flat and on the same plane. That is the number one priority. For any stock that achieves this goal, it should make very little difference (perhaps no difference) whether you fully tighten one screw and then the other, because neither will applying a bending force to the receiver, because the stock is properly mated to the receiver. Theoretically, in a perfect bed, it shouldn't matter, because as you tighten one screw, it is bedding both contact points, because the contacts points match perfectly. That said, if I am shooting a match, I will barely snug each screw and then gradually tighten each in equal movements, just because it's good form.
Parting thought: because the bedding compound is fluid, it will flow. This does most of the work for us. I mention this because the physical act of building clay dams and half-filling the void with goo and then slowly inserting the receiver into the goo and tightening the screws, this is all wonderfully easy. It really is a snap, because gravity and fluid properties work in our favor.
The more challenging aspect is to ensure that the final bed will have contact points that are on the same plane. Do that first, then do the main bedding job.
HTH!