I'm in my 30s, but I was around your age when I really started to appreciate Star Trek. The original series is from 1966-69, so it's campy like most shows back then, but it's good.

Gene Roddenberry's idea was to make a show that wasn't reflective of society, but was representative of what we could become. Humans had put aside their differences, achieved post-scarcity, and decided to explore space together. Men and women in Starfleet serve as equals. The crew of the ship are all different races/nationalities but act like it's no big deal (which it definitely was in the 60s). This is what started it all, and then Star Trek: The Next Generation really matured the series in the 1980s. The show is at its best when it gets philosophical, but it also has a lot of goofy moments.

If you like sci-fi, I'd say give it a chance. Also, based on your username, I think you'll pick up on a lot more references in Futurama. Futurama is like 30% Star Trek references, lol. (I think the scene in this meme might be from the episode where Spock is feeling weird because he needs to go back to his planet to perform his Pon Farr - so, basically that episode where the same thing happened to Zoidberg.)