You should be able to run it just fine, but you may want to make sure you have a way to revert to your current install, just to be on the safe side (that's what Time Machine is for).
Keep in mind that there are some major privacy concerns with the way in which Apple is forcing users to sync via iCloud (syncing via iTunes is no longer an option) though you can choose to disable syncing altogether.
If you want a more detailed analysis on the subject, you can find a pretty heated discussion here:
https://discussions.apple.com/thread/5460803?start=0&tstart=0
or an official confirmation via Apple's own knowledge base here:
http://support.apple.com/kb/PH12117
That means that, if you don't want to hand your calendar and contact lists to the NSA you may want to stick to Snow Leopard (or update to a newer but not quite new version of the OS).
I mention this because, depending on your job situation, using iCloud may put you on the wrong end of some EU privacy protections, or of your company's internal policies (and yes, this is the case regardless of the OS version, the difference is that now you no longer have a choice in the matter, you can either sync via iCloud or not sync at all).
So, in a nutshell: yes, you can update to Maverick, your hardware does support it, and the upgrade is free regardless of what version of OS you are running as long as you have access to the App Store, but as with all major updates you want to make sure you read the fine print before you jump in (and you may also want to wait a couple of months, to give them time to iron out the bugs and to ensure that none of the apps you depend on have major compatibility issues).