SQL Developer is a tool which enables you to connect to the database - let's presume an Oracle one. Did you install it? If not, is there any available on the network? If not, you'll have to do that first (i.e. install a database - 11g Express Edition might be your choice, download it here), and then let SQL Developer connect to it.
As of username and password you'd use: database owner is SYS, but - you shouldn't use it for coding training - you'd rather create a new user, or unlock one of pre-installed; unless I'm wrong, 11gXE contains the HR schema (Human Resources). In order to unlock it, establish a connection to the previously mentioned SYS user (remember which password you choose for it during the installation process) and choose the SYSDBA role. Then unlock the HR user and modify its password by issuing the following statements:
alter user hr account unlock;
alter user hr identified by hr;
Now create a new connection to HR user (this time choose the "default" role); you should be able to see its tables, run queries, etc.