Summoner who forgot how to summon...

So I am still fairly new to FF online...I have been playing off and on with long breaks (sometimese several months) before playing again. Anyway, I was super excited to become a summoner because I love summons in final fantasy. Thing is, I am now level ?52? and have beaten a lot of the summon bosses...but I still only have Ifrit. As I leveled I saw new quests for my class become available...but I cannot for the life of me remember where the summoner quests are located at or if there even IS one. So how do I get to to the quests that will let me summon the bosses I have beaten and where do I go to do so?

In the upper left corner (on the default UI) there is a spot that shows what your current/next MSQ is, and clicking it gives you quest details.
Immediately below that there is another line of text for your current / next job quest. Go through those and you'll have everything you need.
Good luck~

Most summoner quests begin in Old Gridania at Apkallu Falls where the trophy icon is, but 54-60 may begin at the Hall of Flames, which is the Grand Company area in Ul'dah.

https://ffxiv.consolegameswiki.com/w...ummoner_quests

You only get a few summons, not even close to all of the ones you will fight. Most of them are not used much but that will change in 6 weeks when the expansion comes out.