Your frame or crutches are tools for safe, confident walking - not a sign of weakness. Use them the way your surgical team showed you, and put as much weight through the leg as they advised.
Most people move from two supports, to one support on the opposite side of the operated leg, to walking unaided - but the right moment differs from person to person. Good signs that you are ready for the next step: you walk without limping, you feel steady, and pain stays manageable.
Do not rush this. Walking unaided too early with a limp practises the limp, not the walking.