Help on dashboard warning lights

[pickles]

I have just purchased my 2005 yaris and when i turn the engine on both engine coolant lights come on (as stated in the user manual) however the red light goes out after approximately 10 seconds and the blue stays on for about 2 miles. The owners manual doesnt clearly state if this is a really problem or just means the coolant needs topping up, I have checked coolant and appears full although the overflow bottle is slightly below level.

Could somebody please help as I'm worried I will be driving on the motorway and break down!!!

Woman on her own.