Note that I have not owned a baby bluey, I bought a semi adult northern.
A baby reptile is little different from an adult, when it comes to blues, but of course some things are different too.
a baby bts needs meals more often than an adult, with a little more protein base. some feed their adult blueys exclusively dog food with no health concerns, but if you feed veggie/dog food mix then make sure theres more meat than veggie when mixing. the protein base is for growing, they use a lot of it (together with the vitamins, fats, minerals and all other base nutrients)
note that babies wont eat as large amounts as an adult since they have tiiiny stomachs, so dont worry if it seems like its only nibbling at it. your bluey will grow quick
dont forget the calcium powder, with D3 or without, depending on f you have uvb light or not. it is recommended to use D3 supplement instead of uvb lamps, but it is up to you and both work. you bluey will use this supplement to let its skeleton grow healthy

know that babies can be jumpier ( they get more easily scared, and display their tongue more often), but you will want to start taming too so your baby is used to you. wait for the others to give you more tips, but basically you will let the baby be alone (apart from food and water of course) in its new environment for a week, then start getting it used to you

they shed often while growing, so make sure toes and tailtip are okay after a few days of shedding. let them work at the shed themselves as much as possible.