Can I use the Due's serial to USB converter to communicate to a Esp8266?

Hello, I'm looking to use the ESP8266 WiFi module for a power monitoring project. I don't have a USB to serial TTL cable to set up the connections etc. I'm quite new to working with the Arduino IDE but am well versed in programming. Can I connect to the module through the serial monitor of the Arduino IDE using just the due or can I not? And also, the board is supposed to have 2 LEDs but only one briefly blinks when I power on the arduino board and the constant power led doesn't. Could it be a burnt out board? Pretty sure the connections are right after having double checked them multiple times.

Thanks a bunch any who answer!