Thanks to the Google+ app for Android it can automatically send photos you take on your phone to your Google+ account and then they are viewable in your Picasa Web account. But the linkages are one-way and not bi-directional.
In the video below I demonstrate the various ways to get the photos from your phone to the computer as well as deleting them.
You may prefer to watch directly on YouTube
As a side note, this was also my first attempt at making a screen-capture video, so it's a little unpolished.