A 2TB SSD has more than enough nominal capacity for a 1TB HDD clone, but cloning may leave extra space unallocated until you expand a partition.

A whole-disk clone should include Windows, EFI/System Reserved, recovery, and data partitions that belong to the system. The larger destination can preserve the old partition sizes or allocate remaining space to a selected volume. Review the layout before proceeding.
Clone the entire 1TB HDD to the 2TB SSD; preview the destination layout and use the SSD optimization option where available.
Step 1. Connect the new destination drive. In Qiling Disk Master open Tools and utilities and choose Disk/Partition clone. For a Windows boot-drive replacement, select the whole disk rather than just C:.

Step 2. Select the original disk as the source. Confirm its model, size, and partition map, including any boot and recovery partitions. Click Next.

Step 3. Select the replacement drive as the destination by model and capacity, then click Next. All data already on that destination can be overwritten.

Step 4. Review the direction and partition layout. Check that required partitions fit on the destination; enable Optimize for SSD if it is an SSD and the option is available. The illustrated preview shows the controls; check the full layout on your own PC.

Step 5. Click Proceed. Confirm the overwrite warning only after verifying the destination. Keep both drives connected while the progress screen runs; after completion, boot-test the new drive before erasing the original.

Check whether the SSD is detected at full size in firmware and Disk Management. A smaller visible C: partition does not necessarily mean the rest of the SSD is missing.
Will cloning automatically double C:? Not always. You may need to extend a partition after verifying boot.
Can I keep the old HDD installed? Yes, after confirming the PC boots from the SSD and does not confuse the two boot entries.
Clone the whole 1TB disk, boot-test the 2TB SSD, then inspect unallocated space. Expand a suitable partition only after the system and recovery layout are verified.