Find the manual. Read it.
http://www.freeboilermanuals.com/assets/pdf/British-Gas/532,537%20&542.pdf
I believe this is the boiler you have. You will see mention of direct burner ignition; no pilot
One assumes you have done all te self-help things like checking the boiler actualy has an electricity supply
Is your boiler showing any error codes? There is a small diagnostic section to the end of the manual.
I believe the British Gas badged boiler is a Worcester Bosch product.
You may be able to get a call out for a better price than my earlier colleague suggests. Try giving BG and WB a ring. Our last call out was £300
Alternatively a local independant Gas Safe certified engineer may be able to help.
XXX
February 2017