Although the above advice is all fair enough, it does miss the pertinent point which is that Hue bridges are connected via ethernet so making any changes to the WiFi provision is likely to do precisely nothing. We need to ascertain if the ethernet ports on the hub are working at all, if they are not then getting your own router will be pointless as well.
So when you plug the Hue bridge in, do any of the lights on the hub port come on? Do you have any other device you can connect to an ethernet port, if not can you beg, steal or borrow, something, anything, that you can connect and see if that works. have you tried different ports on the hub.
Now there have been reports on here of Hubs where the ethernet ports simply give up and the only fix is a hub swop. Now you might well think that in that case VM would properly test and rectify rather than simply giving the faulty hub out to another unsuspecting
mug valued customer - on the grounds that the majority of people properly just use WiFi, then they'll probably get away with it.
So what you need to do it this, firstly test the Hub ports with another device. If no luck then try a full factory reset (press in the tiny reset button with a paperclip and hold it in for a full 60 seconds, and let the hub reset itself). And if that doesn't work, then the only option is to call VM and try to arrange a hub swop. Now this latter option may be difficult, VM's customer service provision, not being either the most technically competent, or indeed, just competent - and will probably try to palm you off with some BS excuses.
Still, see how you get on and let us know the outcome.