If you need your code to be deployed to the Arduino and work independent of PC, then use Simulink Support Package for Arduino. It has different blocks that can help bring in the temperature sensor data (Analog read, I2C Read, SPI) depending on the output type of sensor. Likewise there is a block that reads digital pins to detect button press. You might have to use/create a display block for the specific display module.
If you are looking for code to run on MATLAB while Arduino is connected to PC, then use MATLAB Support Package for Arduino. Use the Getting Started resources on the website to help understand how to bring in sensor data and write sensor data to displays.
Usually I have seen that experts are more willing to help when you have made some progress and ask their help for when you are stuck, as opposed to asking a completely open ended problem.