Listen to everybody here. There are a lot of things you need to consider before getting a horse.
See if you can pitch in at your lesson stable. Muck stalls, tack horses for their lessons, clean saddles, do whatever you can. Try to ride a lot of different horses. There's a lot of work that goes into keeping a horse, and if you don't really like doing the everyday chores, then a horse is not for you.
I can understand. I bought my first horse three months ago, and I'm supporting him with my job and money. I'm not a complete newbie, I've leased horses before and done a lot of trail riding. I thought I would be completely ok, but there have been so many little things - what to feed him, spring grass making him feel good, ill-fitting saddles, sore back. I didn't know his back was sore, and every time I asked him to canter, he would throw a bucking tantrum. Eventually I came off, and I injured my ankle. Riding is a high-risk sport, you're dealing with an unpredictable prey animal. It's dangerous. I broke my jaw being bucked off another horse.
If you get your own horse, you're completely responsible for them. You need to make sure you have enough money to cover costs such as shoeing, vaccinations, tack, worming treatments, feed, stable costs, and lessons. Those are basic costs that you'll need to pay if everything is going well. If something goes wrong, you're going to need to shell out even more - vets are expensive! My friend's horse tore open his fetlock to the bone in a paddock accident; they can happen out of the blue. He ended up needing a $2000 vet bill.
My point is, I am echoing everyone else here on this forum. Horses are great and the idea of them is great, but keep taking lessons and learn as much as you can. Save up. Ride as many horses as possible, in all situations. Go trail riding. And don't give up hope! It's all worth it when you get your first horse. But if you're serious, you can do it. There's no rush, trust me! :) Good luck and be smart about this.
"When the power of love overcomes the love of power, the world will finally know peace." - Jimi Hendrix