SSIS File System Task (Copy File Operation) OverWriteDestination functionality I was unable to find any documentation on the SSIS File System Task component OverWriteDestination property functionality  for a Copy File Operation.

I understand what it is used for but how does it actually cause the component to behave when the OverWriteDestination is set to false?

If set to False, will the component simply skip the file and not try to copy it or will it copy it with a different name, perhaps a number appended to the end of the file name being copied (for example filename(1).text)?
If you have OverwriteDestination set to False and your destination file already exists, then you will get an error stating something along the lines of 

[File System Task] Error: An error occurred with the following error message: "The file 'XXXXXXX' already exists.".

That is the default behavior if you do not chnage anything else.