While you will no doubt need to take it easy early on, modern two-way interactive turbos have made turbo training far less tedious, where the turbo reacts as best it can to gradient changes in “free ride mode” or adjusts the resistance in “ERG mode” when a training program wants you to ride at x Watts for y seconds.
You don’t need a heart rate monitor, but in the absence of a power meter or simply to augment a power meter, they can help monitor your efforts. They don’t have to cost a fortune, I’ve been using a Coospo H6 ANT+/Bluetooth model for ~18 months, currently can be had for £22.50 with the 10% promo code https://www.amazon.co.uk/TAOPE-Bluetooth-Wireless-Monitor-Android/dp/B01M8QD9Z4/ref=sr_1_7
If the turbo is “smart” then you might be able to get it working in Zwift, there’s an unlimited 7-day trial available through British Cycling membership, plus you can then use the standard Zwift free 25Km trial afterwards.