I also believe that one week and 30mins are are not enough for 1-on-1s.
In my company, we do 1-on-1s once a month for 1 hour. The manager asks questions like:
- How are you? - What's the skill that you are trying to improve this month? - How I (the manager) or the company can help you to improve this skill? -Do you feel that your responsibilities in the company are common with your personal goals?
I think that these meetings are successful when there is a clear agenda and both sides are prepared.
Personally, I feel very happy with these meetings.