It is almost certainly sign wave..... but that does not necessarily mean it is a clean sine wave.
If it is a regular old generator (Not an inverter-generator):
* As the engine speed varies under load the frequency will also vary.
* Depending on the quality of the generator, there can be noise introduced onto the sign wave.
If it is a inverter generator:
* The Output of the generator turned into DC and fed into an inverter that then synthesizes a sign wave. (I guess the inverter could be a modified sign wave inverter, but I don't know of any like that).
* Depending on the quality of the inverter, there can be more or less noise introduced, but inverter-generators will generally have a cleaner sign wave than a regular generator. (THe whole purpose of inverter-generators is to produce a cleaner sign wave)
What is the model number of your generator? (Most inverter-generators are going to be lower than 6300W.)
BTW: Many (most? all?) home generators are advertised at their surge power but can not sustain the surge for a long period of time. Consequently your 6300W generator may not be able to sustain a 6300W load.