Is the Canon EF 70-200mm f/2.8L IS II USM Lens sharp? This page visually answers that question. Shown above are 100% crops from a lab-captured 135mm f/5.6 test image. Observe the contrast and resolution of these results.
Is the Canon EF 70-200mm f/2.8L IS II USM Lens set to 135mm f/5.6 sharper than the Sigma 150-500mm f/5-6.3 DG OS HSM Lens set to 1000mm f/16.0? The image quality comparison above also answers that question. Switch between the results to see the sharpness differences between these lenses.