This is a grammatically correct sentence, but you would ONLY say it in the following type of situation: Someone tells you that they want to get a new job. If you want to say that this isn't a problem for you, you might say 'I'm happy for you to get a new job'. It means that you don't mind if they get a new job in the future. You might say this to an employee or a family member. Is this the situation you have in mind? Or has the person already got a new job, and you want to say that you are happy about this? If you want to congratulate someone on their new job, then this is NOT a correct or appropriate comment. In this situation, you might say: 'I'm happy/pleased about your new job' or 'I'm happy/pleased that you've got a new job.' Right and wrong isn't only about grammar. It's also about context.

I would rather say "I am happy for your new job".

"I am happy for you for getting a new job"- the last phrase to complete the sentence, should be a be a noun phrase(for getting a new job).