In short
Most people walk immediately. In a protective shoe or sandal, usually starting on day one. This surprises patients who have been told they will be off their feet for weeks.
The honest headline figure is six months, not six weeks. You will be back in normal shoes at around 6 to 10 weeks, and back at a desk job much sooner, but swelling, stiffness and the final shape of the foot take far longer to settle.
Keyhole surgery does not reliably mean faster recovery. A meta-analysis of randomised and prospective trials found no clinically important difference between minimally invasive and open bunion surgery in pain, function, correction or complications. Recovery speed is the main claim made for it, and it is the claim the evidence supports least well.
Recurrence is common and under-discussed. Pooled data put recurrence at around 25%, and long-term studies with five years or more of follow-up report much higher rates of the angle drifting back — though most of that is measurable on X-ray rather than troublesome to the patient.
Rotation matters. A bunion is a three-dimensional deformity, and there is growing evidence that correcting the rotation of the first metatarsal — not just the sideways angle — is linked to lower recurrence and better function.