I don't live there now, but for part of my childhood I lived in Uxbridge & I still visit family and friends there.
Uxbridge is an outer suburb but is not as badly connected as Avocados says. It's on the Metropolitan Line which is 40 minutes to Baker Street. The Piccadilly line is slower but is about 50 mins to South Kensington, so would be about an hour to Covent Garden, not 90 minutes! There's also a night bus from central London.
Uxbridge is ok as a town - big shopping centre, pubs, cafes, cinema, etc, but I'd imagine there are a lot of students living with parents, and it doesn't feel like a particularly studenty town, just like a suburb. The campus is about 10 mins walk from the town centre. I've only been on the campus a handful of times, but I have noticed a few new buildings going up in the last few years.
Tbh it's not the first place that comes to mind if I'm thinking of places where it would be fun to be a student, but if the course looks good, maybe it's worth a visit.