It depends on how the server is configured.
Some have Web Deployment enabled which allows Visual studio publishing (i personally don't allow this on my own servers due to it overwriting permissions unless the client knows what they are doing and configure VS properly).
In general you push the compiled files to wwwroot, make sure the database settings are configured as per the hosts settings, and then just make sure the Database and database user is set correct. (what to configure, and where to configure database related settings depend on the project it self, most projects use web.config for those settings, but it can really be defined anywhere).
Regards,
Marco