They're very big on car sharing, I believe, and have limited parking to encourage car sharing.
I'm sure I've read/heard they run a bus service from Swanwick train station, there was a minibus on 2 occasions that I saw. It might be something to double check on the induction day. It's not too bad a walk from Swanwick if you cut through Rookery Avenue.
The regular bus service is the number 28 from Fareham to Whiteley; it used to go to the Shopping Centre, now it stops at Whiteley Parkway and the Tesco store, a short walk from the CTC. Run by First Group if you want to google it