A copy of the Complaint can be found here.

I don't think Dominion was smart for filing this lawsuit. Giuliani almost certainly does not have significant assets, so Dominion is not going to recover what they are alleging are damages even if they win the case, and the case will give an opening for Guiliani to look for and air out any potential dirty laundry of Dominion's employees, and scrutinize Dominion itself. I doubt the outcome of the case will change many minds regarding Dominion, including those that are decision-makers deciding if local governments will employ Dominion.