Open web browser with Arduino

Is there any way to open a Link in some web browser when I connect Arduino on serial port?

Your question is not very clear.

Do you mean that when your PC connects to the Arduino the PC also connects to a web (browser, or server?) to get data for the Arduino or to send data that comes from the Arduino ? If you have a suitable program on your PC that would certainly be possible, and not too difficult.

If that is not what you mean, please explain more clearly.

…R

Is there any way to open a Link in some web browser when I connect Arduino on serial port?

There is no way for the Arduino to tell the PC to do anything, unless there is some application that is listening to the serial port that the Arduino is on, and that application knows how to talk to the Arduino AND knows how to do what you want to have happen when the Arduino connects.