What are some types of weight training equipment?

Initially, you do not need any special equipment. If the gym is warm, you may wear a tank top (so your arms are free to move) and shorts; if the gym is cooler, ordinary cotton sweat clothes are sufficient. To ensure that your feet do not slip, you can wear inexpensive, high-top Basketball shoes. If the gym is hot or you sweat a lot, you may want to wear a headband.

If you keep training, you will eventually need to use a weight-training belt. If you buy a good (non-leather) one that fits you properly, it will last for decades. It is a one-time expense. (Buy a narrow one rather than a wide one.) You will also eventually need wrist straps or hooks. You can purchase canvas wrist straps that work well for a modest price.

If you were asking about what weight equipment is used for Weightlifting, just purchase a bodybuilding magazine (such as "Ironman") or visit a local gym to see the kinds of equipment frequently used.