1. Google reserves the right to automatically update and install Chrome.
"The software which you use may automatically download and install updates from time to time from Google. These updates are designed to improve, enhance and further develop the services and may take the form of bug fixes, enhanced functions, new software modules and completely new versions. You agree to receive such updates (and permit Google to deliver these to you) as part of your use of the services."
2. Although you retain any copyrights to content you own and use in the browser, Google says it has a right to display some of your content, in conjunction with promoting its services. Here's their exact wording.
"By submitting, posting or displaying the content you give Google a perpetual, irrevocable, worldwide, royalty-free, and non-exclusive license to reproduce, adapt, modify, translate, publish, publicly perform, publicly display and distribute any content which you submit, post or display on or through, the services. This license is for the sole purpose of enabling Google to display, distribute and promote the services and may be revoked for certain services as defined in the additional terms of those services."
