Hi there Jen_scott,
Welcome here to the forum.
I'm not sure exactly what you're wanting to do, so will cover what I can
1. There is no process in UK to convert to UK marriage certificate. Your marriage certificate will always be exactly the one you have.
2. There is no process in UK to register any marriage conducted abroad. There is however a process where you can deposit your marriage certifcate and other documents with the GRO (General Register Office). There's actually no requirement to do this at all, it's just like a storage of your docs where you can retrieve copies when you need.
3. By the way any documents not in English will need to be translated.
4. You can check the validity/legality of your marriage here. Chances are you'll have no issues at all.
The only reason I mention that is that some marriages in some countries may not be recognised for UK.
(Our Japanese wedding was not recognised)
Hope this explains enough to help