I'm not sure I understand what you need to do. Based on what you have provided you could be doing either of these 2 things:

• Get a full backup and all log backups for a day once a day
• Get a full backup once a day and log backups every 30 minutes

Then it sounds like you want to be able to read and write to the restored database. Assuming you don't need to keep the changes you are making to the restored database you should be able to do this no problem in the first scenario I mention above. It is just RESTORE full backup WITH NORECOVERY, RESTORE all log backups with NORECOVERY and then run a RESTORE db WITH RECOVERY as the last step. Then the database will be available for read and write. Repeat each day.

In the second scenario above you can't really write to the database. You'd be doing each restore WITH STANDBY so can read from the restored database.