In case anyone isn't already familiar with indoor bouldering, here's a great competition video: https://youtu.be/uHlV_nLLXLc?t=49 Cannot recommend bouldering enough. Problem-solving minds tend to love it.
I'd recommend anyone curious about bouldering get into simply top rope climbing first. Bouldering is HARD which isn't so much the real problem, but it can also be frustrating. Some problem solving strategies like throwing yourself into the problem (metaphorically)can result in nasty injuries and a short bouldering career. Get some easy climbing mileage!
Most gyms are catering heavily to beginners nowadays and offer tons of beginner problems. If you've never been bouldering before and curiosity strikes on a Saturday morning, you can literally drive to a gym, sign a waiver, rent shoes, and start climbing the walls, usually for about $25 or less depending on your location.
Of course, this isn't without risk. If anyone reading this decides to do it, take at least a few minutes to learn the gym etiquette and start slow!