Yes, the dentist has suggested you right treatment plan.
There is one more latest treatment modality present, IMPLANT. In this, advantage is that , adjacent teeth are not grinded.
But it is much costlier than bridge, and it takes around 2 months.
Next Steps
Go ahead and get it done. You can also inquire about Implant if budget is not an issue.
Health Tips
Oral Hygiene. It's very important to Brush twice daily. It will lead to longer life of your natural teeth and Artificial Teeth.