I got lucky when I started out. I was taking auto classes at the community college and a snap-on rep came by with applications for the student program. The tools available through the student program are basically 50% off normal list. That's where the bulk of my snap-on tools came from.
I was a tire tech living with my parents at the time. I would watch and help the mechanics when tires were slow. Got a feel for what I would need, what to spend on and either got it from the snap-on student program or picked away at it on the tool trucks when I saw it on sale.
By the time I started wrenching, I already had the general service tools, power tools, and common brake and steering/suspension tools. Most of it was snap-on, mac, matco and never carried a balance more than a few hundred on the trucks
If you can afford high quality tools, buying them now will save you money down the road. Don't put yourself into debt. Being an auto tech isn't for everyone, I still wonder every few weeks why I chose this (either cursing at a car or sitting around with nothing to work on, making zero dollars). You'll take a big loss reselling lightly used truck tools, if you decide this isn't for you.
If you can't afford higher end, get some cheap taiwan tools that have an easy, quick, hassle-free warranty. All you should really need to start is a general service mechanics set, pry bars, big hammer, pliers, die grinders, and 1/2" impact sockets/wrench. You should be working with an experienced tech that will lend you the specialized tools. You can get a lot done with cheap tools and a lot of the taiwan stuff is half decent, but they can make things difficult. Once you get some experience wrenching, you'll know what you want upgraded first, and which specialized and time saver tools to start buying first