Gruyere is a very standard Alpine style. Not really anything special.
So we would warm it to about 91 degrees or something in that range (this depends on air temperature, humidity, weather conditions...) for adding the rennet. Then after it sets, the curd is cut and stirred for some time, we will VERY SLOWLY raise the temperature. I don't know who would say to raise the temperature quick, but that is not good. It will cause the curd to contract and might scald it so it won't ever knit right.
I use Celsius and there we say that for the first 10 minutes we should raise the temperature by 10 degrees. So that would be nearly 20 degrees F meaning after 10 minutes, your cheese should be like 105 degrees (because you will have lost some temperature before heating it back) then after that you aim to hit 122 after another 20 to 30 minutes. I can see where this might be taken by someone to mean like you posted. The goal, however, is to stress that at the beginning we start slow and gradually put on more heat. We have to ease the curd into the whole process.
Here is is very important to establish a few targets. Pick an exact temperature (like 122) to heat to and an exact time to reach that temperature (somewhere from 30 to 50 minutes I think is the standard for gruyere) so say you pick 40 minutes as an example. But be very consistent with this time target because more than anything else it defines what your final cheese will be. Longer times will make a harder cheese, shorter times a softer.