Yes, you can "view" reopen votes, or what there is to view of them. Unlike close votes, voting to reopen is just a matter of clicking the link and confirming. There's really nothing to view there other than the number of reopen votes currently on the question.
When you vote to close, however, you are presented with a dialog which lets you see how many votes each close reason currently has, which is what the privilege is referring to. You can also still see the number of votes in the link, similar to reopen votes.
As long as you can cast a close or reopen vote on the question, you will see the count next to it (unless there's currently zero votes).