You can follow along using Blender for the modeling portion of the class or equivalent software. While prior experience using either Blender or Unreal is not required, it's recommended that you're familiar with the basics of your 3D software of choice. For the drawing portion, feel free to use good old fashioned pen and paper, then upload a picture of it to your computer using a phone. 

Note: This class does not cover gameplay programming or network multiplayer setup. However, graybox maps are perfectly valid portfolio material as it demonstrates how you design spaces. For personal game projects, you can use these techniques to consistently tackle the blank canvas with a reliable design process.