While watching Anime probably won't hurt and will give you a little bit of exposure, there are a ton of great Japanese films you can watch that I assume would give you examples of more natural conversations. Heck, even if you're not learning Japanese I would still recommend checking out some movies made in Japan.

That being said....(as I brace for downvotes)....if you're young and looking for a second language to learn, I would seriously consider whether Japanese will be the most useful and enjoyable language to adopt as a second tongue.

Learning any language is fun and rewarding, but also time consuming and you may only have the time to learn one additional language in your lifetime. What is the purpose of learning it? Is there a substantial Japanese population where you live? Do you plan to travel extensively or live in Japan? If it's mainly just because you're interested in Japanese stuff, as I was when I started learning it, I would consider some other languages you may end up using more.

Where I live there are a lot of immigrants who speak foreign languages such as Spanish, Russian, Cantonese, Mandarin, Vietnamese, Tagalog, Hindi, and probably some others I forgot. I've run into people speaking each of these languages who would have benefited from someone who could understand their language, and somehow in the over ten years since learning Japanese I have not interacted with one Japanese person outside of Japan who didn't speak enough English to get by.

The benefit of having people who speak the language you want to learn live around you is for one you (and sometimes they) get the benefit and enjoyment of being able to communicate. The second is that if you're not actually using the language with fluent speakers, the odds of being able to learn the language well are much slimmer. Lastly, being able to speak a second language can make you a more attractive applicant when applying for jobs, but if you don't come in contact with Japanese speakers in the area you work in, not so much.

Anyway, sorry for the wall of text. I think I just felt like reaching out to anyone who is young and beginning to study Japanese like I was years ago.

TL;DR: Japanese is a fun and sometimes useful language to learn, just keep in mind the time investment required and usefulness of the particular language when selecting one.