Welcome!
What a precious and gorgeous little darling. Baby conures are the cutest!
I'm guessing this is your first bird, so I'll chime in on some of the advice above. I usually offer these links to brand new folks. Here goes...
Here's some reading on bonding for you.
http://www.parrotforums.com/general-parrot-information/49144-tips-bonding-building-trust.html
General Parrot Information - Parrot Forum - Parrot Owner's Community
http://goodbirdinc.blogspot.com/2012...n-parrots.html
Most of us swear by our avian vets in the event of health concerns. I don't know where you are, but here are some links. I only have USA info...
Certified Avian Vets
https://abvp.com/animal-owners/find-an-abvp-specialist/
If none are near you...
Avian Veterinarians
http://www.aav.org/search/custom.asp?id=1803
In my opinion, any of the vets listed here should be better than a regular vet.
What's the diet? That's critical for health. Too many are kept on seeds or other poor-nutrition things. They need veggies, legumes, grains... pellets are a good staple. Here's what I use.
Harrison's Bird Foods
I feed Harrison's, supplemented by fresh healthy treats. My first, and later, my current avian vet recommended it. My bird loves the pellets now, but to get him converted, my avian vet suggested putting pellets out all day, and putting seeds (his old diet) out for two 15-minute periods a day. That would sustain him but leave him hungry enough to try new stuff. I presume the same technique could be used to get him to eat other healthy stuff, like fruits and vegetables! My guy was eating pellets in a couple of days, and now I can feed a good variety of other stuff, knowing he has the pellets as a basic. Pellets are out all day... fresh treats a few times a day. I also like Harrison's via mail because I never have to worry about out-of-date products.
Since you're a new parront, I'll just drop you a note about avoiding teflon pans, which are lethal to birds when even slightly overheated.
Oh, and about talking... there's no predicting it. The Rb was mumbling a few things at about 3 months. By a year he had a few phrases, and he usually maintains a repertoire of 15-20 phrases, noises, fake whistles (rit-roo!), etc., although they change... stuff comes and goes.
I'm glad you're here!