Connect or solder the I²C to HD44780 adapter on the back of the LCM1602 LCD using the pins on the top.
The side with all the parts must still be visible and pointing downwards.
Connect the I²C to HD44780 adapter to your micro-controller using the I²C pins on the left.
Provide the LCD operating voltage on VCC, most of the time 5V.
You can set the LCD contrast by turning the potentiometer labeled CONTRAST.
This needs to be adjusted depending on the operating voltage, angle, and temperature.
The I²C lines should be pulled up by your board, since this is just one slave device and your board is the master.
This also allows you to operate the I²C bus at 3.3V, even if the LCD operates at 5V.
If you don't want to pull up the I²C lines externally, you can solder 1-10 kOhm 0603 chip resistors on the I²C to HD44780 adapter board, at the place marked I²C PU.
The I²C lines will then be pulled up to the LCD operating voltage.
By default, the I²C to HD44780 adapter is reachable at I²C address 0x47.
You can set the 3 last bits to 0 by creating a solder bridge at the place marked 2 1 0.
By default the LCD is initialized as 2-lines, 5x8 dots, no cursor or blinking.
To display text on line 1, select the I²C to HD44780 adapter I²C slave, write 1 followed by the ASCII text.
To display text on line 2, select the I²C to HD44780 adapter I²C slave, write 2 followed by the ASCII text.
In case the display is in a very weird state and does not update text, you can re-initialize it by writing 0 after selecting it.