Bow hunting in this day and age does not differ that much from traditional gun hunting. Compound bows have increased the strength and speed that arrows can be fired at. Bows even have sites because arrows typically do not have much arc. A bow is perfectly viable now at a longer distance and is sufficient to take down larger animals. Bows just keep getting better and better.
If you have never bow hunted before, then you should find a bow that you are comfortable with and stick with it for at least a couple years. You want to use it long term because your expertise will only improve with practice and how familiar you are with your bow. Ideally you should practice every week for hours. This will help your accuracy when bow hunting. A compound bow like Mathews compound bow or Hoyt recurve bow is a fine choice to start out with because they have good power and force. They are popular among beginners and experts alike.
Bow hunting can offer an advantage guns cannot. Bows do not make any noise that might scare off an animal. You can hunt an animal and other ones close by will not run off after you fire your bow. This means it is more likely you can get more than one animal in a single day. Also, if you miss with a bow, you can quite possibly get another shot. If you miss with a rifle the animal will most likely run after they hear the gunshot.
Arrows can also be better at killing your prey. Because of the arrowhead, animals tend to bleed to death faster due to the size of the wound. This also means bow hunting could be considered more humane to the animals because they experience less suffering. Bow hunting is perfectly viable choice for anybody seeking outdoor activities.