I see you've tagged your question with [visualsvn]. Given that you're using the VisualSVN server, you would start the 'VisualSVN Server Manager' application. On the root node in the server tree, right-click and select 'All Tasks->Start Command Prompt'
From the new command prompt, you can dump your repository by issuing:
svnadmin dump /path/to/your/repo > yourreporname.dump
Copy the dump-file to your new server and type:
cd /path/to/your/new/repo
svnadmin create reponame
svnadmin load reponame < yourreponame.dump
VisualSVN handles access rights on its own, so you'll need to copy the access rights manually.
EDIT:
VisualSVN uses Apache as a front-end server. I guess you could extract the access rights from Apache's configuration files in some way.