I have the same computer (entry level MBP-13 Mid 2012) and added RAM and an SSD at two different times. Here are some launch time data from mine
Base system as shipped:
4GB RAM and slow SATA 3GBps 5400rpm hard drive: Office and Photoshop Elements took 15-18 seconds to be ready to use.
First upgrade, RAM:
8GB RAM and slow SATA 3GBps 5400rpm hard drive: Office and Photoshop Elements took 15-18 seconds to be ready to use.
Second upgrade, inexpensive solid-state drive
8GB RAM and fast SATA 6GBps SSD: Office and Photoshop Elements take under 4 seconds to be ready to use.
And here drive read/right speeds for yours and mine:
Yours, mech hard drive:
Performance:
System Load: 1.13 (1 min ago) 0.95 (5 min ago) 0.93 (15 min ago)
Nominal I/O speed: 1.51 MB/s
File system: 37.09 seconds
Write speed: 82 MB/s
Read speed: 81 MB/s
Mine with OWC SSD:
Performance:
System Load: 1.61 (1 min ago) 1.60 (5 min ago) 2.94 (15 min ago)
Nominal I/O speed: 0.15 MB/s
File system: 28.20 seconds
Write speed: 487 MB/s
Read speed: 482 MB/s
I used this kit and had no installation or service issues, and that was nearly three years ago. My 2012 is still very fast today.
https://eshop.macsales.com/item/OWC/Y3SSD6E500/
The little hard drive enclosure was invaluable for making the data transfer. I put the new SSD in the enclosure, used Carbon Copy Cloner to recreate the old HD on the SSD, then moved the SSD out of the enclosure and into the MacBook Pro,
⚠️ NOTE: Best practice is to change the hard drive CABLE whenever you change or upgrade the drive. The cable is available for US$15 from the same vendor where I bought my SSD kit and is easy to change.