If you PROPERLY connect the generator's neutral and ground wires, as described in this post »Re: Generator doesn't work with Direct Vent Hot Water Heater
then you will just make your generator act like your utility, at least as far as neutral/ground goes.
Then, the next thing to do is to connect the generator's ground terminal to your house's ground system. There are specialized parts to do that (a "split nut" on the panel's ground wire is ideal) but, in a pinch, you could connect it to a screw holding the cover plate onto one of your house's grounded outlets. That's NOT a proper ground bond, by any means, but it's better than nothing.