The Air Pressure sensor uses the BMP180, part of the Bosch Barometric pressure sensor family.
More info in this tutorial.
You can use the pressure sensor to:
Create a sketch to display the air pressure, temperature, and altitude values from the sensor on the OLED display.
Use the "Air pressure sensor" block to obtain the sensor values (it's in the "Grove I2C" menu.)
Show the correct units for the sensor values.
If the units of the sensor values are not familiar to you, you can do some math in your sketch to convert the units (such as meters to feet.)
You can modify the sketch you created for the Temperature & Humidity lesson.
If you are able to move your Grove Kit higher or lower by around a meter or so, do you see the change in the pressure and altitude values? (You might need a longer USB cable. Or, connect your Kit to a USB power brick.
Create a sketch to show altitude change. Store the initial altitude in Setup( ).
Then, display current altitude - initial altitude using the Serial Plotter.
Your ideas?
More about barometric pressure and altitude:
How calibrate the pressure reading:
Barometric Pressure to Altitude (Arduino.cc forum)
Altimeter Setting Calculator (National Weather service)
If you have an Android phone, you can use the Physics Toolbox Sensor Suite app to display data from your phone's pressure sensor.