I'm on OS X, only couple of days in Processing, but checked it carefully...

These two functions, rotate(), and (CENTER) supposed to work same way for rectangle and
PShape for example, right? Well, in basic transformation examples there is one rotating
rectangle around it's center(spinning). If i'm trying to do the same thing same way with svg
shape, changing mode to center changing it only for drawing, but when i'm trying to rotate it,
it still rotating it around left top point.

This is simple code:

PShape bot;

void setup()
{
size(500,500);
smooth();
frameRate(30);
bot = loadShape("pum.svg");
}



void draw()
{
background(200);

shape(bot, width/2, height/2);

bot.rotate(radians(1));
shapeMode(CENTER);

}

Thank you.

no, your code is incorrect. bot.rotate() will affect the rotation matrix of
the shape itself, while shapeMode() is acting on the graphics context (not
the shape). your code should be:

float r;

void draw() {
background(200);
shapeMode(CENTER);
rotate(r);
shape(bot, width/2, height/2);
r += radians(1);
}