Can you tell the difference between the left and right side of wheel hub bearings in the same car?

Yes, although it looks similar in the appearance, but there is still some technique detail difference in wheel hub bearings.

What should we do to ensure that the wheel hub bearing functions normally after installation?

In order to make sure that the function of wheel hub bearing is normal and smooth, you should operate every step according to the manufacturer's instructions or have a qualified mechanic change it for you.