The fact that you're looking for advice is a great sign already, the learning never stops!
1. WORK when you're at work! Good work ethic is very hard for a manager/foreman to look past. Do what you're asked to do, and then some.
2. Clean up after yourself, and others if you must. Every shop owner appreciates you keeping their investment in the best shape possible.
3. Keep your head down and don't complain! Most of us started at the bottom, but the road to successful wrenching doesn't lend well to seeming as if you hate what you're doing.
4. This was already mentioned, but LEARN as much as you can from everyone around you! That includes your manager, service manager, and other techs. There is always something new to learn, and even those with very little experience may have a couple tricks of their sleeve.
5. Use your time away from the shop to study hard and work on things in your spare time to develop a rhythm and learn your way through common automotive systems.
6. Take pictures of things you're working on if you're unfamiliar with them.
7. ALWAYS lend a hand to others every chance you get, because there is a 110% chance that you'll need a hand yourself sooner than later.
I could continue this list forever, but hey, what do I know? You seem as though you're ready to tackle it and you have plenty of folks here to help you out. Just focus more on understanding WHY your fixing something rather than the wrenching itself, it'll pay off. There are many, many people who have the tools and hand skills to physically fix just about anything, but knowing what caused the problem and what it takes to solve it is key in my opinion. Utilize AllData, Identafix, Mitchell, and so on as often as possible - but, don't be afraid or too prideful to pull up good ol' YouTube and Google as well. Most of all, have fun and take pride in your work! Whether your changing oil on a Geo Metro or throwin' blowers on hot rods, do the job right the first time and do it the best you can. I was told a story over-and-over about how my grandfather started out at a Cat dealer with nothing but a ratchet and a set of 1/2" sockets, and to this day I have yet to meet a better technician.. get what you need, when you need it, and you'll eventually be able to afford all the cool tools that make it fun for most of us to go to work! Never be too good to sweep the floors, treat everyone in the shop like they are family, and do whatever undesirable work your boss may ask you to do and you will always have a job!