Hi!
For "tell me about yourself", focusing on giving a concise overview of your background, key experiences and motivations, and what makes you a unique candidate. As a graduate, you could structure it as:
- Education and background - briefly mention your degree and university
- Relevant experience - highlight any internships, vacation schemes, or other non-legal roles, and discuss how they have shaped your interest in law and given you transferable skills
- Why Law - end with what motivates you to pursue a legal career or what kind of work environment you're drawn to, and why the skills / experiences that you have make you a good fit for the career path
For preparation, this will definitely differ from person to person, but I usually prepared in a similar way to the one you have described. I found it helped to jot down everything I wanted to say in full and then reduce this down to bullet points (e.g. of each point I want to make). I would then practice my answer with just the bullet points and if my mind went blank, I referred back to the full answer to jog my memory of what I wanted to say. I repeatedly practiced this until I remembered my full answer with just the bullet points, and then I went on to record my answer. I found doing it this way got me into a 'rhythm' so that when I went to record it, I could speak for the full amount of time given. However, I would focusing on finding a way that works for you, as everyone will prepare differently! I would try and avoid writing and reading from an entire script if you can, as this feels less natural (and you wouldn't be able to do this in an in-person interview).
For competency questions, you don't always need to link directly back to the firm or law, but it helps if you reflect briefly on what the example shows about skills that are relevant to legal work (e.g. communication, initiative, and decision-making). I wouldn't try to force a link if it isn't quite straightforward to make, as that will feel less natural. However, if you feel that the experience you are describing links directly to a core value of the firm, it might make sense to make that link!
I hope that helps, and good luck with the preparation!