You cannot suspend or resume your game but you will be able to pause and resume your downloads with the System Software 2.0 for the PlayStation 4.
I suggest you read this post from their blog and watch the video because they didn’t list every change in their release notes. In fact there are so many undocumented improvements, unearthing them has become a game in itself. Voice chat quality and contextual PS button prompts are among the many improvements that Sony failed to mention.
Of the tentpole features, I’m most excited for YouTube support. I will finally export more videos of glory and idiocy for the internet to see. There’s also an actual YouTube app to view said videos.
Still, I can’t help wonder what could have been. Sony was pretty bad with version numbers with the PlayStation 3 System Software updates and they continue to under deliver for a momentous increment like 2.0. Suspend and resume functionality should have been included or at least they could have saved the big 2.0 for that feature.
Many of the improvements and updates are nice additions but they could have been included in a dot release. The first big update around the one anniversary of your console should be more than things that should have been there on day one.