Ooh! Ooh! This sounds fun. I put some time into this when I should have been working, so I hope it helps.

1) Pruners - $20.49

This will be your most used tool. Eventually, you can upgrade into Felcos or Bahcos, but right now just get these Coronas. They're honestly a better size for hobby gardeners (fit right in your pocket), and the're very high quality for the price.

2) Your First Gardening Book - $17.06

Gardening Without Work by Ruth Stout. It's simple and gives you a general plan that really does work very well. It's a must for beginning gardeners, imho. You can find just about any other information you need on the internet (for now). Very little maintenance required, including fertilizing, weeding, applying pesticides, etc. (In a nutshell, the main step involves putting down an 8" layer of mulch...).

If you want to go with a more traditional raised bed setup, you should buy Mel Bartholomew's Square Foot Gardening. It's a fantastic back yard gardening book, as well, but the methods are kind of pricey and less sustainable. Still, it's a great system for growing a lot of food in limited space and it was the first book I used.

3) Indestructible Garden Trowel - $15.99

This will be your second most used tool. This particular model is about as indestructible as it gets short of this bad boy. You'll use it for digging holes for transplanting, mostly. Don't buy a cheap one or it will bend or break or both.

4) Fertilizer - $7.83 + $11.06 = $24.26

I chose cottonseed meal because that's what Ruth Stout recommends using (the rest of the nutrients in her system come from the giant mounds of mulch). Apply as she indicates.

I also added some Fish Emulsion Liquid Fertilizer because I love the stuff. It's a great way to add some extra nitrogen (and just a little P & K) mid season to your veggies or even to your compost pile when it gets carbon heavy. The stuff I have right now stinks, but the plants love it and it's easy to apply if you have a watering can.

Make sure you tailor your fertilizer to whatever system you're using, though. Don't fertilize like Ruth if you're not using her mulch based system. If you're using Square Foot Gardening, you won't be fertilizing at all, but you will be using lots of peat, vermiculite, and (different kinds of) compost. Etc, etc, etc.

5) Work Gloves - $10.97

These are specifically for women, but there's a button to switch to men's if that's you. You won't wear them all the time, but you'll be happy you have them when you need them. Notice that this comes with 6 pairs of gloves. I misplace gloves all the time, so having several is handy (hehe).

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Total: $88.77

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Notes:

• Save the rest for now. You're inevitably going to become enamored with something like earthworm casings, azomite, or a nozzle for your gardening hose down the line. Your future self will thank you for having some extra cash to buy it with, and this is plenty to get you started on your way to being a badass backyard gardener.
  
  
• The two above methods claim to be mostly pest free. In my experience, nothing is pest free, and you just need to grow enough quantity to weather the storm when it does randomly come. I would just concentrate on growing healthy plants first and foremost and then let the chips fall where they may. You might turn to pesticides later, and that's fine, but hold off on buying any until you know what is nibbling on your plants. Most pesticides are specific to the pest.
  
  
• Notice that I don't include any seeds. Your first year of gardening, I'd honestly recommend just buying live plants from your local nursery (and sticking to plants bred to survive in your region). Growing from seed can be hard, and your entire crop of seedlings dying is a humbling experience, I can assure you.
  
  The other reason there are no seeds on my list is because I don't recommend buying them on Amazon. I've had bad experiences every time I've tried it. If you need seeds, go with a good seed dealer, like Johnny's Selected Seeds, Burpee, etc, or find a good nursery in your area.
  
  
• If you have any questions, don't hesitate to ask.
  
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  TL;DR: Pruners, a book to get you started, a durable trowel, fertilizer that is specific to your growing plan, and some gloves. Enjoy!