Inclusion Criteria:

• Histologically documented, incurable, locally advanced or metastatic solid malignancies, or NHL without leukemic phase, that has progressed despite standard of care therapy or for which there is no standard therapy of proven clinical benefit
• A biopsy-accessible lesion from which tissue can be obtained safely
• Evaluable or measurable disease per RECIST and/or the following: prostate cancer patients with non-measurable disease are eligible if they have two rising prostate-specific antigen (PSA) levels that meet the PSA Working Group criteria for progression prior to initiation of study treatment; ovarian cancer patients with non-measurable disease are eligible if they have two rising CA-125 levels greater than the ULN >= 2 weeks apart prior to initiation of study treatment.
• Eastern Cooperative Oncology Group (ECOG) performance status of 0 or 1 at screening
• Life expectancy >= 12 weeks
• Adequate hematologic and organ function within 28 days before initiation of GDC-0980
• Documented willingness to use an effective means of contraception for both men and women while participating in the study
• For patients participating in DCE-MRI assessments: at least one metastatic lesion measuring >/= 3 cm in the liver or >/= 2 cm elsewhere (lung and mediastinum lesions are ineligible) in at least one dimension (on CT scan)

Exclusion Criteria:

• Leptomeningeal disease as the only manifestation of the current malignancy
• History of Type 1 or 2 diabetes mellitus requiring regular medication
• Grade >=2 hypercholesterolemia or hypertriglyceridemia
• Malabsorption syndrome or other condition that would interfere with enteral absorption
• Known untreated malignancies of the brain or spinal cord, or treated brain metastases that are not radiographically stable for >= 3 months
• Congenital long QT syndrome or screening QTc > 470 msec
• Active congestive heart failure or ventricular arrhythmia requiring medication
• Ejection fraction that is <50% or is below the LLN (whichever is higher), as determined by echocardiogram or MUGA scan
• Active infection requiring IV antibiotics
• Requirement for any daily supplemental oxygen
• DLCO < 50% of predicted value corrected for hemoglobin and alveolar volume
• Uncontrolled hypomagnesemia
• Hypercalcemia requiring continued use of bisphosphonate therapy
• Clinically significant history of liver disease, including viral or other hepatitis, current alcohol abuse, or cirrhosis
• Uncontrolled ascites requiring frequent paracentesis
• Known HIV infection
• Any other diseases, active or controlled pulmonary dysfunction, metabolic dysfunction, physical examination finding, or clinical laboratory finding giving reasonable suspicion of a disease or condition that contraindicates the use of an investigational drug or that may affect the interpretation of the results or renders the patients at high risk from treatment complications
• Significant traumatic injury within 4 weeks of Day 1
• Major surgical procedure within 4 weeks prior to initiation of GDC-0980
• Treatment with chemotherapy, hormonal therapy (except hormone replacement therapy, oral contraceptives, or GnRH agonists or antagonists for prostate cancer), immunotherapy, biologic therapy, radiation therapy (except palliative radiation to bony metastases), or herbal therapy as cancer therapy within 3 weeks prior to initiation of GDC-0980
• Palliative radiation to bony metastases within 2 weeks prior to initiation of GDC-0980
• Need for chronic corticosteroid therapy of >=10 mg of prednisone per day or an equivalent dose of other anti-inflammatory corticosteroids or immunosuppressant
• Treatment with an investigational agent within 4 weeks prior to initiation of GDC-0980
• Unresolved toxicity from prior therapy except for alopecia and Grade 1 peripheral neuropathy
• Pregnancy or lactation
• For patients participating in DCE-MRI assessments, any contraindication to MRI examination