Your doctor is unlikely to simply stop your prescription.
More likely, he will discuss a 'wind down' process whereby you gradually reduce your dosage, dependent on feeling OK as you do so.
It is a perfectly standard fear after a course of anti-depressants to worry that the symptoms of Depression will return without the medication.
It may be that your Depression was, and is temporary, and you will not need further medication - but you won't know that until you reduce.
If it is that your symptoms return, then you have the option to request an icrease to your former dose.
I have never regarded my medication as something to lose, as though it is a medical equivalent of a tumour, and must be exorcised as soon as possible.
To me, anti-depressant medication is mental insulin - if you need it to stay balanced, then you need it, and there is nothing wrong with that.
Anti-depressant medication is vastly more sophisticated than the 'liquid cosh' approach of years ago, so there is no lasting harm in staying on them long term if your circumstances require it.
So go in with an open mind, and be willing to try a reeduction, but remember the safety net is there if you need it, and that thought may well prevent a residual anxiety that can re-trigger some or all of your initial symptoms.
Good luck - come back if you need more support, there are plenty on here who have experiences to share.