The answer is yes. Grinding increases surface residual stresses. They can go up to -2 GPa, which is in beneficial for fatigue properties (this is limited by the presence of stress concentrators)
Depends of the type of hard particles have the hard metal. If this are CW, the temperature produce by grinding friction can affect the surface hardness of hard metal.
There can be a number of parameters which can be studied depending on what you are trying to analyse.
If you plan to grind a WC insert and use it as a cutting tool during say, straight turning, you may want to check its residual stresses as chances are that compressive residual stresses are induced in the WC insert. Incorporation of compressive residual stresses usually improve toughness, which may help the insert during machining. You may also want to check about 'grind hardening' which may happen as WC grinding usually involves low values of depth of cut.