Hi,

Yes your plant does look like the peperomia obtusifolia in the picture below.

If the soil is very dry and the leaves are limp, then set the plant in a deep saucer of water for 10 minutes so it can absorb water from the bottom. The leaves should become firm again in a few hours. If the leaves are limp and the soil is wet, you have over watered and the roots have rotted. Remove the plant from the pot and allow it to sit out bare root for 24 hours. Repot into a container with fresh soil that has drip holes in the bottom and is only an inch or two larger than the root ball. Place in bright indirect lightVery few houseplants should be placed in direct sun. High light refers only to bright indirect light since direct sun often burns the leaves of indoor houseplants. An area that is too hot and dry encourages Spider Mites and causes blooms to quickly fade. A northern exposure really doesn't provide enough light for high light plants. These plants need to be placed directly in front of an east-facing window, within 1-3 feet of a west-facing window, and within 5 ft. of a south facing window. A high light area has over 300 ft. candles of light. and be careful with your water.

You can read all my care tips for a peperomia in the Popular Houseplant section of the website.

https://www.houseplant411.com/houseplant/peperomia-how-to-grow-care-for-peperomia-plant

These plants are considered poisonous and should be kept away from pets and children. Read more about common houseplants that are poisonous in Don’t Feed Me To Your Cat! A Guide to Poisonous Houseplants