The clipboard is an operating system concept and not really part of
the web page. I would suspect that using Selenium to send a ctrl-v
would send it to the web page, bypassing the operating system.
Additionally, ctrl-v means something different on Mac OS X and can
mean something different on Linux (depending on the windows management
system you are using and how the user has it configured). If you ever
decide to test on something other than Windows you will need to make
changes to your test case.
I know that Java has support for interacting with the clipboard. If
programming in Java, you could use the clipboard support to get the
object from the clipboard then use sendKeys to send it to the web
page. This will work better for all operating systems and avoid and OS
versus web page issues.
If you are not using Java then check and see if there is some support
for clipboard in the libraries of the language you are using.
Darrell