personal services
no reasonable expectation to use employers IT access for personal use - potentially actionable and lucky not to be sacked yet, especially after hours as you imply.
You do have your own internet access...
If I was council IT/HR it would be written warning and access restricted to defined working hours and monitored (as usual) - breaking the whole IT structure to allow "adults only" searches could be actionable and very expensive for the school/authority if my little johnny/janet saw something they REALLY shouldn't as a consequence.
Anon as I await the haters