I would say that you probably need a good breakaway halter and a standard length (6-10 feet) lead rope for turnout and general leading. A longer rope (15-20 feet) or lungeline is helpful for groundwork. I like a NH style cue stick and string for groundwork as well. I think that's about all that you should need for a yearling right away as far as handling equipment goes.
You'll need a basic grooming kit: stiff bristle brush, soft bristle brush, mane/tail hairbrush or comb (your preference
), hoof pick (Oster makes one with a really comfy grip), rubber currycomb, and 2 sponges (one for face, one for the under-tail area. It's helpful to color-code or otherwise mark these to keep them separate).
If your horse isn't boarded, you will definitely need some cleaning tools (at some boarding barns, you may need these anyway). A wheelbarrow, manure fork, flat edged shovel, and pitchfork will get you started, but as you go, you'll figure out what tools work best for the kind of bedding that you use.
A water bucket or trough for everywhere your horse will spend time, and a feeder. I feed hay off the ground in the stall, personally, but you may decide that a hayrack works better for you, especially if there's sand or similar footing where the hay is fed (can reduce colic risks). If it gets cold in your area, an electric water bucket will keep everything liquid (safety tip: have an electrician hook up a GFI plug for the electric bucket. These will automatically disconnect the power if there is a malfunction. Can really be a lifesaver where electricity and water meet.)
This is a really abbreviated list, but this stuff should basically get you going. As your horse gets older, you'll need more tack, what articles specifically will depend on your horse's needs and your training style/goals.
Good luck, welcome to the forum, and congrats on the new horse!