Sickbay

The attending doctor in sickbay is Doctor Cottle, but there are lab coat-wearing specialists and paramedics, such as Layne Ishay and Howard Kim, to assist him.

The sickbay seems to have the equipment of a basic small hospital (beds, stretchers, IV's), but is relatively spartan otherwise. It is also equipped with a machine similar to a magnetic resonance imaging scanner.

According to Lee Adama, the sickbay is also designed as a disaster shelter in the event of a ship catastrophe (Valley of Darkness).

Morgue

Galactica also possesses a morgue, which can be accessed through Baltar's lab ("The Farm", "Sacrifice"). The lab itself is located in the starboard forward section of the ship (Six Degrees of Separation).

Major characters who have spent time in sickbay

Cally -- gunshot wound in "Bastille Day". Later beaten to the point of having her jaw broken by Galen Tyrol and needing it rewired (Lay Down Your Burdens, Part I).
Laura Roslin -- breast exam and inquiry about available medication in "Act of Contrition". Near-death from advanced breast cancer in "Epiphanies".
Kara Thrace -- broken knee ("You Can't Go Home Again" to "Six Degrees of Separation").
Sharon Valerii -- self-inflicted gunshot wound in the cheek (Kobol's Last Gleaming, Part I).
William Adama -- after the attempt on his life by Sharon Valerii ("Scattered" to "Resistance").
Gaius Baltar -- scan of his brain to determine whether or not his internal Number Six is a chip (Home, Part II).
Lee Adama -- gunshot wound (Sacrifice)
Sharon Agathon -- near-miscarriage in "Final Cut". Attempted rape resulting in a cracked rib treated in "Resurrection Ship, Part I", Caesarian-section birth in "Downloaded".
Louanne Katraine -- dies from radiation sickness in "The Passage".
Galen Tyrol -- recovers from explosive decompression in "A Day in the Life".
Romo Lampkin -- survives an assassination attempt in "The Son Also Rises".