Hi there!
Congrats on the monstera. It looks like a borsigiana, so it is going to be a climber. The leaves shouldn't become too overwhelmingly large, and you can train it to grow in a very attractive way.
I personally would plant it in a chunky soil mix similar to what it might get in the wild. I can help you with advice on that if you would like.
I would without a doubt give this plant a pole, post, stick, moss pole, board, something that it can climb, as it would climb a tree in nature. For starters you attach the plant to the pole. It can then use less energy supporting itself which it is not intended to do. The extra energy can then go towards beautiful foliage and larger leaves. You will see a nice change. Soon it will attach itself, literally grabbing hold with air roots that will focus on pulling moisture from the air. Growth will get faster, also. Moss poles are the industry norm. They can easily be made or bought. But the moss is not essential for success. Just give it something for support, nice light (some say they are low light, it will thrive in better than low light), well draining soil, occasionally fertilize once it's happy, and it will be a beautiful plant for a long time!