The protons that are different (chemically speaking) have different NMR frequencies because the chemical environment causes the local magnetic field for that nucleus to be unique. The "PPM" axis is used to report frequency differences that are scaled by the magnetic field strength. This allows the peak positions to be compared for spectra acquired at various magnetic field strengths, without having to do any conversions. Zero, on this PPM axis, is the frequency position (or chemical shift) of a compound called Tetramethyl Silane or TMS.
The NMR signals from the various chemically unique protons appear not as single peaks, but as multiplets of peaks. This is because the spins of the hydrogen nuclei bonded to neighboring carbon atoms perturb the energy of the NMR signals. This effect is often called "J-coupling," "spin-spin splitting," or "scalar coupling." For example, the CH hydrogen (shown in green) is affected by six equivalent CH3 (red) hydrogen nuclei, and two equivalent (dark blue) CH2 hydrogens. Because there are eight hydrogen atoms on the neighboring carbon atoms, the NMR signal from the (green) CH is split into 9 different individual peaks (or a nonet). This follows the so-called "n+1" rule, which is over-simplified, but often taught to beginning students learning NMR spectroscopy. The (purple) CH that is adjacent to the (cyan) CH3 group appears as 4 peaks (or a quartet) because of the 3 hydrogens on the neighboring carbon. Click on each peak above to see an expanded view of the NMR signal.