I don't think I'll ever stop learning, seeing as how our field evolves so rapidly. Each year something new comes out that's worth taking a look at.
I would say the best way to learn is through practical application: don't just try a language out and then never pick it back up again, but learn the language and it's quirks by building something! If you aren't sure where to start, maybe do the Angular or React tutorial online to get some inspiration and practical knowledge!
I think it depends on what your goals are. A lot of people just like to become frontend web developers, which is a perfectly legitimate career choice. Others eventually want to get into full-stack development, working with both the frontend as well as the backend.
If you're already down the path of learning frontend development, I would maybe expand your skills in that area first. I would most certainly go out and try Angular or React, or even a different frontend framework that you're curious in such as Ember or Vue.
Once you're feeling comfortable with that, you can look into developing backends to serve your applications!
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