Guild Order is basically a Five-Stage gauntlet. When you click on the "Bounty Check" button, you will be offered to battle a "Subjugation Request". There are no rewards to actually beating the thing (gems and EXP excluded), except to complete the missions on the mission table. Every time you clear a mission, you can claim it as complete and obtain a mission point. Your total mission points for the two weeks each subjugation request is active allows you to collect rewards from the "Point reward" table. Note that some missions do NOT require you to beat the whole thing to get rewards.
As a new player, you are primarily looking to clear the following missions:
- Lets participate in Guild Order quests 3 times.
- Lets participate in Guild Order quests 5 times. x2
- Clear Guild Order quest battle 1 three times.
- Clear Guild Order quest battle 2 three times. x2
- Clear Guild Order quest battle 3 three times. x2
- Clear Guild Order quest battle 4 three times.
Participation missions are the easiest. You complete them by entering the subjugation request, and that's it. You can hit the give up button right then and there if you want.
Clear battle X missions means to clear that stage in subjugation request. For example, "Clear Guild Order quest battle 1 three times" means it wants you to beat the first wave and advance to the second. If you do this three times on three separate days (you can only enter once per day), then you completed the mission. Naturally, battle 2 means beating the second wave, battles 3 means the third wave, and battle 4 means the fourth wave.
Subjugation requests last two weeks with two sets of 10 missions. The first set of missions ask you to participate in guild order 3 times, participate 5 times, and clear battles 1-3 three times. After one week, the next set of 10 missions swaps in. This second set asks you to (again) participate in guild order 5 times, and clear battles 2-4 three times. Yes, you have to do them again. All the other missions require you to actually beat the whole thing under some kind of special condition.
If you can complete these 9 beginner missions, you can earn 5 Half Elixirs, 15 Energy Seeds, 1 Evolve Grimoire, 1 Grimoire of Apotheosis, 800 Magic Jewels, and 1 Orcihalcon every two weeks. If you can't clear all 9, you can still earn some of it. At the very worst, you can always participate 5 times per week and get the welfare rewards for missions points 1-4. So yeah, go to guild order and just try it. The worst that can happen is that you wipe at wave 1 and get a participation point.
EDIT: Correction, guild order's second set of missions does not have a participate 3 times mission. This has been corrected in the post.