04-04-2013 14:39 - edited 04-04-2013 14:40
Yes it will if you have both of them synced at all the time. You can change the setting on your email by going to settings, email and change the frequency of syncing for new email to every hour or daily.
For the other applications, go to settings, flick to the left and at the top go to background apps and block the apps you don't want to run in the background.
Let me know if I have helped you or if you have any quesitons.