For this book, you will need to have a computer with mid-class computing capabilities. As the open source GIS software is not that demanding, you don't have to worry about your hardware specification when running the software, although some of the raster processing tools will run pretty long (about 5-10 minutes) on slower machines.
What you need to take care of is that you have administrator privileges on the machine you are using, or the software is set up correctly by an administrator. If you don't have administrator privileges, you need to write the privilege at least to the folder used by the web server to serve content.