I often get this question so thought will document this for easier reference:

• What is SkyDrive Pro? – its your My Site in SharePoint 2013.
• What is SkyDrive Pro client then? – its a Client for Syncing your My Site content on your client machine. Its a part of Office 2013 Standard or ProPlus install and not available as a separate download. this means you cannot use the Sync client if you have Office 2010 or 2007
• Can I Use SharePoint Workspace 2010 – Yes. it needs a HotFix when installed with Office 2013. Ref: http://support.microsoft.com/kb/2687364 . In fact, if you need to take a list offline, SharePoint WorkSpace 2010 is what you need, SkyDrive Pro client cannot do that.
• Can I use SkyDrive instead? – No. SkyDrive is the consumer offering and cannot be used as a replacement for SkyDrive Pro.
• Why does it say SkyDrive on my internal SharePoint site? – its an abbreviation of SkyDrive Pro :-)
• Is there a peer-to-peer sync capability with SkyDrive Pro? No.
• Can I choose what to sync like commercial SkyDrive? No. Not at the moment.

More references:

• http://sharepoint.microsoft.com/Blogs/GetThePoint/Lists/Posts/Post.aspx?ID=675
• http://sharepoint.microsoft.com/blog/Pages/BlogPost.aspx?pID=1015
• http://office.microsoft.com/en-us/sharepoint-server-help/what-is-skydrive-pro-HA102822076.aspx 
• http://sharepoint.microsoft.com/blog/Pages/BlogPost.aspx?pID=1033 

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