Welcome to Android!

Make sure you have your email set to push updates. To check, from your home screen hit Menu -> Settings -> Battery & data manager -> Data delivery. Check both boxes (Background data, Data enabled), then hit Email and corporate sync -> Email delivery, and make sure Data push is checked. That should (in theory) ensure that your Gmail shows up as close to in real time as possible.

 

Hmm. Are you on a wireless signal or cell/3G? If you're not on wireless, under Battery & data manager hit Data Saver and make sure it's not checked. If it is, your email will only sync if you're on wireless.

 

I'm new to Android also, jumping from iOS. Will this work for all the emails(Yahoo, POP)?

 

Ok, next thing to try is make sure your sync is not turned off. If you have the Power Control widget active, make sure the two circular arrows are "on." If you don't have the widget up, add it and check. On a nice blank spot on your screen, long press (hold your finger down on the screen for a second) until a menu pops up and select Widget. From there, scroll down to Power Control and select it.

It should, yes.