I don't have have 10 reputation yet, so you will need to check the workflow image at
http://idms.rutgers.edu/cas/how_does_it_work.shtml
When a new user initially logs into an application they won't have established a session with the application. Instead of displaying a login form asking for the username and password, the application (via the CAS Client) will redirect the browser to the CAS login page.
CAS then authenticates the user. If the authentication fails, the CAS login page is displayed again with an error message. So until authentication succeeds, the user will not be returned to the application. If the user is not sure how to proceed at that point, there are help desk links on the CAS login page. Once the user authenticates successfully, CAS will redirect the browser back to your application. CAS knows where to redirect to via a {service} parameter that you append to the CAS login url.
When CAS redirects the authenticated user back to your application, it will append a {ticket} parameter to your url.
The ticket returned to your application is opaque, meaning that it includes no useful information to anyone other than the CAS Server. The only thing that your application can do is send this ticket back to CAS for validation.
CAS will then either respond that this ticket does not represent a valid user for this service, or will acknowledge that this ticket proves authentication. In the later case, CAS will also supply the username so that you know the identity of the user.
The application must provide its own session management. Once the user is authenticated, your application should keep track of this fact within a session so that you don't have to reauthenticate them with the CAS Server. Typically this would be the same as if you authenticated the user directly from your application.
Each application should provide their own logout facility which will invalidate the session and require the user to re-authenticate into the application. Note that if they are using SSO through the myRutgers portal, they will not have to re-enter their username and password.