It doesn't happen. The grid will be at 60 Hz and the generator can't change that.
The generator will be close to 60 Hz, preferably a little less, but 59.5 Hz or more. At 59.5 Hz the synchroscope is moving a little too fast for a safe closure, but it is possible.
59.9 Hz will put the synchroscope at 10 seconds per revolution. If we consider plus or minus 18 degrees a safe closing window, we will be in the window for one second out of every ten seconds.
When the breaker is closed, the frequency will move from 59.9 Hz to 60 Hz in the closing time of the breaker.
As to adjusting the frequency prior to synchronising, most generator that are set up with synchronizing gear have quite slow acting governor adjustment control. The operators will turn on the synchroscope and it will usually be spinning. They will nudge the speed setting of the governor until the "scope" is rotating slowly with the generator a little behind the utility. The utility gently picks up the load at 60 Hz.
The generator will speed up to 60 Hz. and continue to carry most of it's Load. At 1200 RPM it only has to gain 2 RPM to go from 59.9 Hz to 60 Hz.
The amount of load remaining with the generator will depend on the governor droop setting. If the governor is running in autogenous mode it may be well to switch to droop mode before synchronizing with the utility.
Once the generator is in parallel with the utility, the speed setting may be reduced. The droop will keep the generator at 60 Hz but the load will reduce. When the load on the generator is close to zero the generator breaker may be opened. If the speed setting is set too low, the generator will still run at 60 Hz, however the utility power will be motoring the generator. That's what reverse power relays are for.
Why do you want the generator slower than the utility? If the generator is faster than the utility, the load will increase on the generator as it tries in vain to increase the grid frequency. Again, depending on the droop setting, this may be a non-issue or it may be serious.
NOTE; When adding an unloaded generator to the lineup, it is run at a little over the bus speed. About 60.1 Hz. This is to ensure that the generator picks up a little load when it is connected and avoids inadvertent motoring if the speed is a little slow. With a load already on the generator we have a buffer to avoid motoring but we are concerned with putting additional load on the generator.
If the generator is between 30% and 65% loaded you may be able to go either way. The concern is the hotshot operator who thinks his reactions are good enough that he can sync the generator even though the synchroscope is turnning quite rapidly. Yes he probably can, most of the time, but the load transfer will be greater and if he misses the safe window, he is liable to do serious damage.
By the way, a closed transition transfer switch does this automatically and not nearly as smoothly as a good operator will handle it.
The details depend on site conditions, the size of the generators, the skill of the operators, and the mode and setting of the governors, but the transfer may be done smoothly by operators with a minimum of training.
Or, Hey, you can get the synchronizing circuit from a closed transition Automatic Transfer Switch and just go "Bang" "Bang" and it's done, you're on the utility. It's done all the time.
respectfully