Manage users' access to my Analytics and AdSense accounts
No, they won't. Giving someone access to your Analytics account won't allow them to sign in to your AdSense account.
However, keep in mind that the AdSense data in your Analytics profiles is visible to anyone with access to those profiles in your Analytics account. If you're concerned about users on your Analytics account having access to your AdSense data, note that you can disable or enable AdSense data for individual profiles.