I want to propose to my girlfriend here is this doable and do I have to make reservations

definitely doable but I also would also call the building staff to let them know of your plans as they may be able to help you make it extra special

If you plan on proposing inside the building I would definitely give them a call to make sure they're open. But anywhere outside is open to the public. Congratulations to y'all

Yes Definitely Call The Ford Center And Congratulations