Hello! I am also newbie in gardening, but I have few plants in my indoor garden so I can tell you what I started with. My mom gave me 2 cherry tomatoe seedlings and I think they are pretty easy to grow. You need to remember about watering them regurarly and that's all.. I also started to propagate them so it is nice experience
I also have a few herbs: basil, mint and rosemary. You should try growing various plants, I think that you will easily get into the topic!