He has wired both lights so that they can only be worked from the one switch. He has also broken the Wiring Regulations by leaving a bare wire.
The red wire is the "live" and you must not touch this at all regardless of the position of the switch. This wire comes down from the ceiling rose of the first light (the one nearest the switch).
The black wire is the "switched live" and this becomes live when the switch is ON. This carries the current up to the ceiling rose and down through the the holder to the bulb itself.
The second ceiling light will be wired in parallel from the first one.
The bare wire should have been covered with a green/yellow sleeve because this is the Earth. It must always be connected to the brass post in the switch mounting box.
It is not possible to control the lights independently from this arrangement. To separate them you will have to do some large re-wiring in both light fittings and run wires down to the second switch. This will probably mean lifting floorboards upstairs to gain access to the route for running the additional wires along and down the wall to the switch.
If you had asked him to wire it up so that you could work both lights separately then he has bodged it - you must ask him to come back and do it properly.
If you did not specifically ask for each light to be separately operated then you are effectively stuck with it.
BUT you can easily replace the switch with a dimmer, all you need is an electrician's screwdriver. This is a direct one-for-one replacement. But note that most energy saver light bulbs (sometimes called CFL) cannot be used with a dimmer switch.
Before changing the switch you must follow the wiring instructions carefully and make sure that you isolate the lighting circuit in your consumer unit.