This is pretty much the right part, so don't worry about that.

The order of achievement inside Abyssea should be like this:
1. Necessary Atma/Abyssites
2. +1 gear
3. Other Atma/Abyssites
4. +2 gear and miscellaneous items (gear and weapons)
5. Empyrean weapons

I've seen too many people come to Abyssea and wanting Empyrean weapons and +2 gear, and that kind of thinking is wrong. You will need some prerequisites to be able to do the other things realiably, unless you have a group you can leech stuff off. So let me go a bit into depth with the aforementioned points, and keep this in mind: if you do it right, it's very easy.

The "necessary" Atma/Abyssites are the ones you'll need for +1 farming. If MNK is your only job (is it?), you'll probably only need RR. RR and GH are a good combination for you at this point. For this, you'll need two Lunar Abyssites. One you can buy with 100k cruor (which I assume you have from lvling MNK to 95?), another you get from defeating a zone boss. Easiest to farm and kill are probably Bennu or Resheph, however you can just go to Abyssea - La Theine, Tahrongi, Misareaux or Attohwa and see if anyone is fighting the respective zone boss in there. People will often let you leech the win.

The sad part is, this is what you can't effectively do on your own. You will need some kind of help with those Atma and Abyssites (or zone boss wins). If you have a LS or some friends to help you, great, if not you'll probably have to read up on it and shout to find other people who need them. However, while all of that can easily be duod by skilled and equipped people, it can be quite difficult for a party of Abyssea newbies, so this will be the hardest step.

So mobs you'll want to kill for Atma and Abyssites include Sobek and Ironclad Pulverizer (both in Abyssea - Misareaux), as well as Mictlantecuhtli, Warbler and Xibalba (the latter two being dangerous for inexperienced groups) for their merit Abyssites. Also, you should buy all Abyssites you can with cruor, as well as the quested ones (although this may take a decent amount of time, it should only be done for the important ones for now, merit, furtherance, celerity and sojourn).

Next is the +1 seal farming. With this basic set you should be able to DD efficiently enough to be the primary DD for seal parties. That means, you'll only need a WHM and a BLM (and possibly a THF) to make an efficient seal party. These you can usually get by shouting for people who need seals off the same mobs you do. As an example, for MNK head seals you'd go to wiki and search for "Tantra Seal: Head". You'll see a list of mobs that drop it. You just pick the easiest one of them (in this probably case Berstuk, since Amun is a timed spawn and Gaizkin can be kinda nasty on unsuspecting people). You usually find that out from reading testimonials on the wiki talk page.

Let's stick with Berstuk for now. You see that it also drops THF, NIN and DNC seals, so you shout for people who have a WHM or BLM and need those seals. Then your party is set. You usually do that until you have all seals for everyone in the party or until people have to leave. Once you've done that, you can repeat that step for the other pieces, until you have a full +1 set.

+1 sets are usually a good start for any job, most can be upgraded in plenty of ways with other gear and macro in situational gear, but once you have all +1 pieces, you can be considered a decent DD for Abyssean purposes. That's the point at which you'll want to get other Atma and Abyssites that you'll be missing. You should focus on merit and furtherance Abyssites. Once you get some of these, you may wanna start getting other zone boss kills. Seven zone bosses means you'll get to equip a third Atma. I'm not really sure about MNK choices, but other Atma that spring to mind are Sanguine Scythe (off Bukhis) and Voracious Violet (off Eccentric Eve).

At this point, you'll also want to skill other weapons, namely Club and Staff. Most people will expect MNK to have both Club and Scythe skilled up to 230~250, for their WSNM weapon skills (Retribution and Black Halo in this case). This will also help with acquiring further Abyssea gear (since gear drops often depend on the blue stagger).

At this point, there isn't really any order, and you can approach the rest of Abyssea in a similar fashion. Mostly with small groups, either friends or shouted. You can start working on +2 gear, slowly work towards Shinryu access as well as pursuing some harder to get items (Epona's Ring springs to mind, not sure if Zelus Tiara is worth it for MNK, but you get what I mean).

Once you're decently decked out, you can start pursuing empyrean weapons, although that will require some teamwork (people to hold key items for you and help you kill harder NMs). Once you're at this point you'll have Abyssea all figured out anyway, so there's not much else to say here. In general, it's pretty much all the same: check out what you want, what's required for it, and work your way towards it. As long as you don't try to jump too far ahead, you'll have no problems getting stuff done. Only the beginning can be a bit rough, but once you have your basic Atma and Abyssites working for you, you'll be able to get the rest a lot easier.