It is not known what information has been seen by education officials resulting in the two suspensions.
A joint statement by Cyngor Gwynedd and the Ysgol Friars board of governors states that suspension from work is a “neutral act”, so that investigations can be carried out “thoroughly and in an appropriate manner”.
It said the process will be conducted by the school's governing body, in line with usual school arrangements, and will be supported by an independent investigator.
Newyddion S4C has seen a letter sent to staff from Brian Jones, chairman of governors stating that Lynne Hardcastle has been appointed to lead the school in the short term until Christmas.
She is expected to start working full-time at the school next Monday.
The role for a permanent headteacher has been advertised three times.
Cyngor Gwynedd said recruiting had been “challenging”, and it was decided to recruit a temporary headteacher instead.
Last week, it was confirmed that Margaret Davies had been appointed as Interim headteacher and is expected to join Ysgol Friars on secondment for four terms from Easter 2025 until the end of the 2026 summer term.
Margaret Davies is currently head of St Christopher’s special school in Wrexham.
