If you are just starting out in woodworking, there are many basic projects that you can tackle. The birdhouse, storage shelf, and the cutting board. Making a cutting board isn't too difficult and once finished, can be used to give you a space that you can chop fruits, veggies, and meat on.
You don't need a ton of power tools, but you will need some and this video will tell you which ones. So good luck, pay attention, and enjoy!