I'd rather choose the first version.

It’s infinitive of purpose: I’m going to England TO learn English. 🤓 Other examples: I’m going to the shop to buy some bread. I go to the gym to get fit. We often travel to London to visit our family. The boy’s parents went to the school to speak to the teacher.

You have two conflicting answers to your question... how can you decide which answer is correct? In British English we say "to learn" and never "for learning" for an intention/purpose https://dictionary.cambridge.org/grammar/british-grammar/for-ing However, it's possible that in other parts of the world people might say "for learning" in this sentence. I don't want to say that it is wrong, but I think it is non-standard. So if you are going to England (as your question says) then you should say "to learn"... and perhaps be prepared to hear different versions in other places. If you are doing an exam I suggest you always use to+infinitive when you are talking about intention/purpose

They are both correct What are you going to England for? I am going to England for learning English. Or Why are you going to England? I am going to England to learn English.

In English we say I am going to England to learn English. For This book is great for learning English