The campus will be connected by an eastern entrance to Temple Meads via a new public space called University Square.
There will also be a new harbour walkway, funded by the West of England Mayoral Combined Authority, connecting University Square to Temple Quay with new walking and cycling routes.
More than half of the workforce that constructed the building came from the local region.
Drone footage of the new building shows a six-storey atrium, a ground floor Exchange Hall that will be open to the public and internal gardens for students and staff.
There is also a 300-seat lecture theatre in the round to to increase participation.