Inclusion Criteria:  Patient or legally authorized representative must be able to understand and willing to sign an IRB approved written informed consent document. Patients must be 18 years or older Patient must have histological or radiographically confirmed unresectable or metastatic hepatocellular carcinoma. Patients must have no concomitant active oncologic diagnosis Patient must have at least one radiographically measurable lesion defined as non-radiated lesions that can be accurately measured in at least one dimension (longest diameter to be recorded) as greater than or equal to 10mm with calipers by radiographic exam. Further details listed in section 5.5. Patient must have received no previous systemic or investigational therapy for the treatment of HCC. Patients who previously received locoregional therapies remain eligible for this study. Patient must have a life expectancy of minimum 3 months.  Patient must have normal bone marrow and organ function as defined below.  Absolute neutrophil count >1,500/mcl Platelets >75,000/ul without transfusion Hemoglobin >9.0 g/dL Creatinine should be below the upper limit of normal OR Creatinine clearance >60 mL/min/1.73 m2 for patients with creatinine levels above institutional normal Aspartate aminotransferase (AST), Alanine transaminase (ALT), and alkaline phosphatase (ALP) <5 times the upper limit of normal Serum bilirubin no greater than 1.5-2x the upper limit of normal Patient not on anticoagulation must have international Normalized Ratio (INR) and activated partial thromboplastin time (PTT) <1.7 upper limit of normal. Patients on anticoagulation may be included, provided they can be off anticoagulation as indicated for paired biopsy collection. Patient will have an ECOG performance status of 0 or 1 Patient must consent for baseline and on treatment biopsies, if prior baseline biopsies have been performed, and stored within the University of Rochester Cancer Library, then baseline biopsies are not necessary. Patients must be Child-Pugh class A or less Female subjects of childbearing potential must demonstrate a negative urine or serum pregnancy test. Women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control, abstinence) for a duration consistent with that described in the Bevacizumab and Atezolizumab labels (i.e. 6 months). Should a woman become pregnant or suspect she is pregnant while participating in this study, she must inform her treating physician immediately. Male subjects with a female partner of child-bearing potential must agree to use 2 adequate methods of contraception (barrier + hormonal for example).  Exclusion Criteria:  Patient with any histologic variant of HCC such as fibrolamellar, sarcomatous, or mixed cholangiocarcinoma and HCC. Patient has a history of other malignancy ≤ 3 years previous with the exception of basal cell or squamous cell carcinoma of the skin which were treated with local resection only, carcinoma in situ of the cervix, or prostate cancer that does not require treatment. Patient who received a previous systemic therapy for hepatocellular carcinoma or has tumor recurrence sooner than 6 months after completion of the last dose of therapy. Patient who is receiving any other investigational agent Patient has a history of allergic reactions attributed to compounds of similar chemical or biologic composition to PXS-5505, Atezolizumab, or Bevacizumab Patient with uncontrolled intercurrent illness including, but not limited to, ongoing or active infection symptomatic congestive heart failure, unstable angina pectoris, cardiac arrhythmia, any clinically active malabsorption syndrome, inflammatory bowel disease, any condition that increases the risk of severe gastrointestinal toxicity, or psychiatric illness/social situations that would limit compliance with study requirements Has current active autoimmune disease, or a documented history of autoimmune disease or a syndrome that requires systemic steroids or immunosuppressive agents. Subjects with vitiligo, resolved childhood asthma/atopy, hypothyroidism on thyroid supplementation, and type 1 diabetics would be exception to this rule. Patients who are eligible for liver transplantation Has had an allogenic tissue/solid organ transplant. Has interstitial lung disease or a history of pneumonitis that required oral or intravenous glucocorticoids to assist with management. Has received or plans to receive a live vaccine within 30 days prior to the first administration of study medication. Flu vaccines that do not contain live virus are permitted. Has known active Hepatitis B or C. Untreated or incompletely treated esophageal and/or gastric varices with bleeding or high-risk for bleeding A prior bleeding event due to esophageal and/or gastric varices within 6 months prior to initiation of study treatment. Uncontrolled pleural effusion, pericardial effusion, or ascites requiring recurrent drainage procedures Inadequately controlled arterial hypertension Prior history of hypertensive crisis or hypertensive encephalopathy Evidence of bleeding diathesis or significant coagulopathy Inability to tolerate oral medications Child Pugh B or C cirrhosis Known connective tissue disorder Evidence of vascular aneurysmal disease History of myeloproliferative, myelodysplastic disorders, or monoclonal gammopathy of undetermined significance Major surgery within 4 weeks of enrollment Patient who is pregnant and/or breastfeeding.