Taken with my T3i on a super sunny day at the park... no corrections in post... no differences in camera settings except for the water image, which I used the polarizer to allow me to increase the levels of the shadows to be closer to the highlights.
The polarizer stops scattered light rom entering the lens, leaving only directly reflected light:
colors are richer, Color Correcting this image will make those background colors pop:

especially in greenery, which reflects a lot of light from all over, especially from the sky (not just the sun)

reflections can be dialed away as they're comprised of a lot of scattered / off-axis light. Here the reflection is the bridge off camera to the right.

Which allows us to get ride of the reflective sun on water allowing us to balance our images of water better to get more contrast out of them as the reflections are removed from the main calmer parts of the water

And what they do to cloudy skies is amazing!
The polarizer stops scattered light rom entering the lens, leaving only directly reflected light:
colors are richer, Color Correcting this image will make those background colors pop:

especially in greenery, which reflects a lot of light from all over, especially from the sky (not just the sun)

reflections can be dialed away as they're comprised of a lot of scattered / off-axis light. Here the reflection is the bridge off camera to the right.

Which allows us to get ride of the reflective sun on water allowing us to balance our images of water better to get more contrast out of them as the reflections are removed from the main calmer parts of the water

And what they do to cloudy skies is amazing!