Firstly, you need to secure your Intel Galileo board. This will serve as our microcontroller board. Note that we'll use Gen 2 for this project.
Here is a list of all the components needed for this project:
Intel Galileo board (https://www.adafruit.com/products/2188)
DHT11 sensor + 4.7K Ohm resistor (http://www.adafruit.com/product/386)
1N4148 diode (https://www.sparkfun.com/products/8588)
10K Ohm resistor (https://www.sparkfun.com/products/8374)
Jumper wires (https://www.adafruit.com/products/1957)