Your problem is "how to connect to sqlite database"? If that's the point follow an example:
Loading a DataTable using SQLite and C#
DataTable dt = new DataTable();
String insSQL = "select * from Alunos";
String strConn = @"Data Source=C:\dados\MacorattiSQLite.db";
SQLiteConnection conn = new SQLiteConnection(strConn);
SQLiteDataAdapter da = new SQLiteDataAdapter(insSQL,strConn);
da.Fill(dt);
A full tutorial can be found here:
http://blog.tigrangasparian.com/2012/02/09/getting-started-with-sqlite-in-c-part-one/
Mark as answer if helpful.