Traditionally it works like this:
"core" science: biology unit 1, chemistry unit 1, physics unit 1
"additional" science: biology unit 2, chemistry unit 2, physics unit 2
Double science is core and additional, so units 1 and 2 of all three.
Biology GCSE: unit 1, unit 2, unit 3
Chemistry GCSE: unit 1, unit 2, unit 3
Physics GCSE: unit 1, unit 2, unit 3
Some exam boards number is differently... OCR used to have units 1-9, so 1-3 was core, 4-6 additional and 7-9 only studied for separate GCSEs.
Normally double or triple is not a choice. Unit 3 is hard and very few schools will let you choose to do it. Usually the top few sets will do separate sciences in their normal lessons, as they can move quicker through the content and cover the extra unit in the same time.
Allowing students who aren't capable of separate sciences to choose it is not doing anyone any favours. If it is a choice at your child's school, and they aren't in top set, please do contact their Head of Science and have a frank discussion about it.
Note: I've been out of teaching for a few years, but I am pretty sure the GCSEs are structured in the same way, although they are probably labelled differently now.