They would be looking at a week Monday - does that work for you?
Does it mean?
- I should be available on Monday next week.
- I should be available on any working day in the next week.
In British English, 'a week Monday' means one week after the next Monday. I'd be surprised if Australians were using it any differently.
So assuming you received the email on Saturday 4th July, they want to interview you on Monday 13th July. However, you should still email them back to confirm that this is the correct date.
This sentenced confused me at first but I realized it is just missing a period or a comma in between "week" and "Monday". "They would be looking at a week" seems like the answer to a previous question like "How long will it take them to do ___?" And the second part is asking if Monday is a good day to start.