Very simple control by a sent character.
int ledPin = 13;
void setup()
{
Serial.begin(9600);
pinMode(ledPin, OUTPUT);
Serial.println("serial on/off test 0021"); // so I can keep track
}
void loop()
{
char c = 0;
if (Serial.available() > 0)
{
c = Serial.read();
if (c == '1') // assuming you send character '1', not a byte with value 1
{
digitalWrite(ledPin, HIGH);
}
if (c == '0')
{
digitalWrite(ledPin, LOW);
}
}
}