As per my opinion, If you implement test database and then if you implement web data fetching functionality then both will take your valuable time. So go either with web fetching or dummy database creation and then use it.
If you want to implement dummy sqlite database then for that you can use SQLite Browser, it is a plugin available inside the Mozilla firefox browser, no need to download it from anyware. Using this SQLite tool you can create the dummy database as you want. Once you are done with database creation, put it inside the assets
folder and then use it inside the application. for the reference how to use your already created sqlite database inside the application, refer this link: http://www.reigndesign.com/blog/using-your-own-sqlite-database-in-android-applications/.
If you want to implement web data fetching functionality, then you have to write a code to make webservice call. For this just google, as of this time many articles are available.
Here is the best example: http://lukencode.com/2010/04/27/calling-web-services-in-android-using-httpclient/.
One more example to Retrieve JSON from a REST web service