Connecting LCD TFT shield to NodeMCU
The driver chip was identified by https://www.waveshare.com/wiki/2.8inch_TFT_Touch_Shield and https://www.waveshare.com/w/upload/8/84/2.8inch-TFT-Touch-Shield-UserManual-EN.pdf as being the HX8347D.

At https://github.com/jshnaidman/UTFT_ESP8266_HX8347D there seems to be a library, with which you can use the HX8347D display type to instantiate a UTFT object, with which you can draw. You can build upon this demo code.

The connections for the SPI interface are detailed here. BL (backlight) pin is detailed here. The pin number for the D/C pin must be given in the code in the constructor and can be chosen freely.

Other reference code (which you might have to port) are:


HX8347D by Majenko 
Code from Watterott