Salvaging colour LCD from Brother MFC-J6710DW printer
A search for "Brother MFC-J6710DW repair guide" dug up this link.  That is a service manual for your printer.

Chapter 6 (Circuit diagrams and wiring diagrams) shows the 25 pin connector to the LCD, and gives signal names for all of the signals on that connector.  Looks to me like the data is written to the LCD in parallel - there are 8 lines marked "DB" which I take to mean "data bus."
Some of the pins with question marks will be used to regulate who can write/read the data bus, and some will be used to get the attention of the other end of the line (LCD can signal main processor, processor can signal LCD.)

What the data on the databus actually means is a whole other can of worms.

The connector pinout is, with some guessing at the meaning of the signals: 


BLL - backlight low (?) 
BLH - backlight high (?) 
NC - not connected (?) 
GND 
RDB - read (active low?) 
GND 
WRB - write (active low?) 
GND 
RS - ? 
GND 
CSB - chip select (active low?) 
GND 
DB10 - data bus bit 0 
DB11 
DB12 
DB13 
DB14 
DB15 
DB16 
DB17 - data bus bit 7 
GND 
FMARK - frame marker (?) 
VCC - (3.3 or 5V?) 
VCC 
RESET - LCD controller reset (active low ?)


A search for similar chips and pin designations turned up the ST7036, which is probably NOT the chip on your board, but it might help to read its data sheet and see if it can give you any pointers, or at least more information so that you do more directed searches.

There seem to be several more or less common types.  This Arduino forum mentions the ST7036 as well as different type - perhaps some of the existing code will help you, or maybe you will be able to find out whta chip is on your board and find some arduino code that supports it directly.  Your pictures are unfortunately too fuzzy for me to identify.