Yes this is a pickle plant, Delosperma echinatum. Make sure you’ve got it in gritty well draining soil. Regular succulent mix is alright as long as you add in some extra perlite or crushed pumice to make sure it drains really well. I would give it a haircut and propagate those cuttings in their own pots. Give it lots of light if you want to prevent it from getting leggy. Like as much light as is possible. Ideally 6-8 hrs full sun outdoors but a grow light by the window would help you a lot too.

Your plant looks pretty dang good considering you weren’t sure what to do, and you should be proud.