There are several ways to deploy a web application in weblogic. If your application follows the required web application directory structure and contains the web.xml file, you can use any of those deployment methods to deploy, one of which is deploying by using the Weblogic Administration Console. Check this out for details.
Configuring J2EE Applications for Deployment Using the Administration Console
To configure a J2EE Application using the WebLogic Server Administration Console:
Start the WebLogic Server Administration Console.
Select the Domain in which you will be working.
In the left pane of the Console, click Deployments.
In the left pane of the Console, click Applications. A table is displayed in the right pane of the Console showing all the deployed J2EE Applications.
Select the Configure a new Application option.
Locate the archive file (WAR, EAR, RAR, JAR) to configure. Note: You can also configure an exploded application or component directory. Note that WebLogic Server deploys all components it finds in and below the specified directory.
Click [select] to the left of a directory or file to choose it and proceed to the next step.
Select a Target Server from among Available Servers.
Enter a name for the Application in the provided field.
Click Configure and Deploy. The Console will display the Deploy panel, which lists deployment status and deployment activities for the J2EE Application.
Using the available tabs, enter the following information:
Configuration�Edit the staging mode and enter the deployment order.
Targets�Indicate the Targets-Server for this configured J2EE Application by moving the server from the Available list to the Chosen list. Note: If you do not select any targets, the application will just be configured and not deployed. You can modify and deploy this later by accessing it in the mydomain/applications directory.
Deploy/Undeploy�Deploy the J2EE Application to all or selected targets or undeploy it from all or selected targets; undeploy the J2EE Application. Deploy/Undeploy are toggle options.
Monitoring�Enable session monitoring for the J2EE Application.