I doubt whether the cooler will get above 60 degrees under full load. Such processors have a certain operating temperature and this is probably higher than 60 degrees for this processor under full load. But such a cooler is a good start. It is important that the rest of the PC is also cooled by fans.

That depends on your processor. This CPU cooler is certainly better than the BOX cooler, which is sometimes supplied with the processor. But the correct application of the cooling paste also has an influence on the temperature.