Google has enabled new sync features between desktop computers and mobile devices, specifically for local search and query suggestions. You need to be signed in, of course, to makes use of the sync. Here's what to expect if you do:
If you're searching on Google Maps, you can star various local businesses. Later, you can pull them up on your phone on Google.com under the Local section. Just look for "Starred Places." Once you bring them up, you can access mobile optimized Place Pages, the new local content pages Google just released.
There's also a new category browse feature if you're looking for something to do, but you're not quite sure what it is or where to go.
These features are available in the US and China.
Typing on a mobile phone is tedious, so to make querying Google a little easier on your mobile device, Google is syncing queries. If you've searched something on your desktop, it will now show up as a query suggestion in your mobile search. You have to sign in on your mobile search with the same account that you use on your desktop. Web history also needs to be enabled to use the query suggestion sync.
This feature is available for iPhone, Android, and Palm OS phones.