How to return a result set from oracle procedure ?
You don't need a return statement, because it is using OPEN and FOR... It is the same like RETURN...

The error is in the name of the table, you put it in "" double quotes.  Remove that, use simply the name of the table, and use the type  SYS_REFCURSOR like this:

CREATE OR REPLACE 
PROCEDURE ProcSelectEveryThing(cursor_ OUT SYS_REFCURSOR)
AS

BEGIN

OPEN cursor_ FOR
      SELECT * FROM tblTest; 
END;