The electrician will issue a certificate. I don't think Building control need to inspect if he's registered as being competent.
If the electrician is dealing with notification via one of the competent persons schemes, then no, BC do not need to inspect.
However they are for electricians to notify their own work - specifically NOT work which others have done.
For someone who doesn't deal with BC, and is unsure what is notifiable, what isn't, what you can get away with and what you can't? what you need certificates for, and what you don't. It is. when is a kitchen ceiling a fire guard? etc. Just seem to get conflicting views.
It's really very simple.
New circuits, consumer units and work within bathrooms is notifiable. Other electrical work is not.
Work can be notified via building control, either by completing a building notice or submitting full plans.
Members of competent persons schemes can notify work they have done
via the scheme, which is considerably more convenient and cheaper when making large numbers of notifications every year.
And "you need a plumber, you need a spark for that" when you don't. How do these people on the TV who renovate houses seem to do what they want, but the likes of me have to jump through hoops?
Anyone can do any work, provided they are capable of doing it properly.
Some things have to be notified. Others do not. This applies to all building work, not just electrical. You could replace your own windows - but this would be notifiable via the same process.
What is shown on television is a tiny fraction of what actually goes on. 99% of it would be total boredom otherwise.
If renovating an entire house, a single notification would be submitted to cover all of the work involved, it is not necessary or desirable to notify each type of work individually.