It looks like we have no sign of any summer like weather over the next couple of week. It looks like the temperature will be a couple of degrees below average for the next two weeks with some showery conditions.
The GEFS graph shows then temperature at 850 hpa, 1,500 metres, the thick black line is the 30 year average temperature. The bottom of the graph is the rainfall.
It looks like the temperatures will fall away during Monday and it looks like it will remain fairly cool until around the 11th of June with daytime temperatures around 16-17 c. It looks like we will have some showers possibly every day at some point.
At this time I cannot see any sign of some fine, settled summer like weather during the first half of June.