The episode you are referring to is EP011, titled "Charmander – The Stray Pokémon".
Pokémon Centers may look different but pretty much all of them have the same design.
>Inside a typical Pokémon Center, one can find a front desk, a lobby (sometimes with vending machines), a Poké Ball room, an Emergency Room with plenty of beds for injured Pokémon, a recovery room, a waiting room, rooms for lodging, and a cafeteria. A lobby may also have a large widescreen TV or several smaller TVs so Trainers can watch typically Pokémon-oriented shows, such as Sinnoh Now, Pokémon Contest broadcasts, and major competitions like the Pokémon Leagues of each region and the Grand Festival. A typical sleeping room has a desk and chair and two sets of bunk beds to maximize space, and girls do not have to sleep in separate rooms from boys. At least one Pokémon Center was shown in Uncrushing Defeat! to have a small library with a PC (presumably connected to some network akin to the Internet), as an information room. It is unknown how these activities performed by a Pokémon Center are financed. On the outside, they come in all shapes and sizes, but usually have a rather large P somewhere.
Source: Pokémon Center - Bulbapedia