Short answer: There would be no apparent petrification, you would just see the human die.
Carbon in the human body is almost entirely part of organic molecules. So if the silicon just replaces the carbon it would not form any kind of mineral/stone but would just create organosilicon compounds (https://en.wikipedia.org/wiki/Organosilicon_compound#Silenes). Which look not like stone but more like this:
This This is of course the pure form and regular organic molecules could just like this, when in their pure form. Pretty any process in the body would stop working more or less instantly, since the biochemistry of the organosilicon compounds is quite different. There would be no obvious change to an observer. So the affected person would just drop dead, maybe getting cooked by the heat.
There could be some rupture in the skin due to a lot of dead cells or the heat, but I don't know enough about this to make a prediction here.
Any non-living compound would just change chemical properties and would not serve its original purpose anymore. It could cause a decay, since the covalent bonds of silicon are weaker than with carbon.