Each time you bore a 2-stroke you slightly change the tuning of the engine. If you're really "in tune" with your ATV's performance, you might notice a difference, but as 400ex4me said, you'll think there's a performance increase if you're comparing a fresh cylinder's performance to a worn cylinder's performance. I would say you will definitely notice a change in performance from a cylinder at it's stock bore versus one that's been bored out to it's service limit.
Roof angles present in each of the ports means that as the cylinder bore gets increased, the ports heights get slightly lower. This means that the "port time area" is reduced and they become slightly less effective. On the plus side, lower port heights mean the length of the compression stroke is slightly increased.
Avoiding this situation is one area where a plated bore has an advantage. Ideally, a plated cylinder never needs to be bored and you simply change the piston with another of the same size.
Here's a
website that will allow you to calculate the displacement increase, but you need to convert your bore and stoke measurements to inches. The results will be in cubic inches, so you'll want to convert that back to cubic centimeters.