Studying the Physical Function and Quality of Life Before and After Surgery in Patients With Stage I Cervical Cancer

Inclusion Criteria:

* Patient must consent for the appropriate surgery
* Patients with a histologic diagnosis of squamous cell carcinoma, adenocarcinoma, or adenosquamous cell carcinoma of the cervix, stage IA1 (lymph-vascular space invasion \[LVSI\]+), IA2, and IB1 (tumor size \[maximum visible or palpable\]) =\< 2 cm), any grade
* All patients must have undergone a cone biopsy or loop electrosurgical excision procedure (LEEP); depth of invasion must be =\< 10 mm
* Patients must have no evidence of metastasis on positron emission tomography (PET) scan or magnetic resonance imaging (MRI) or computed tomography (CT) scan of the pelvis and chest imaging
* Patients who have met the pre-entry requirements
* Patients must have signed an approved informed consent and authorization permitting release of personal health information
* Patient must have Gynecologic Oncology Group (GOG) performance status of 0, 1, or 2

Exclusion Criteria:

* Patients with stage IA1 disease who are LVSI negative
* Patients with stage IB1 with tumor size (maximum visible or palpable) \> 2 cm
* Patients with \>= stage IB2 disease
* Patients with clear cell or neuroendocrine cell types
* Patients with depth of invasion \> 10 mm on first cone biopsy (or LEEP)
* Patients with a history of other invasive malignancies, with the exception of non-melanoma skin cancer, are excluded if there is any evidence of other malignancy being present within the last five years; patients are also excluded if their previous cancer treatment contraindicates this protocol therapy