The Ben Webpage
The 3D view of the structure helps to give a better representation of its shape.
The particular reactivity of the peroxide groups can be seen by looking at the HOMO of the molecule. This orbital is largely based around the peroxide groups, making this site susceptible to the attack of approaching reagents.
The hydrogen atoms in the molecule are all chemically equivalent, and this fact is picked up by the 1H NMR of the compound. Hence there is only one peak, and no coupling, and the shift is in line with that expected for a methyl hydrogen.