As per the CT report its localised disease. Further imaging needed to rule out distant metastasis.
Assuming its a local disease,
coming to your question,
they will remove entire extent of the cheek from inside to the outside , not just from inside.
surgery may include excising the lesion and surrounding tissue to ensure no gross disease is left behind.
This may be followed by reconstruction of cheek.
Next Steps
Complete evaluation for staging.
Surgical evaluation.
Discuss about surgery done and post surgery quality of life and any further treatment required based on surgical outcomes.