Plot: Some archaeologists (who have terrible research methods, but that's tv for you) have traveled to Telos (on a Rocket! They call it a rocket!) to open the Tomb and study the frozen Cybermen inside. Klieg, a Logician who's patron of the expedition, is also with the team, as is his partner (?) Kaftan and her ultra-strong factotum Toberman, who seems to be a Magical Negro in the literary sense. [ETA: natlyn rightly points out that he's really a Sacrificial Negro, also a literary trope.] Toberman's strength renders him a good subject to be made into a Cyberman; the process is partly completed towards the end, but once his mistress Kaftan is killed, Toberman helps the humans against the Cybermen. We don't hear his views on any of this. He has very few lines.
The TARDIS arrives just before this group opens the tomb, and the Doctor and his companions neatly insert themselves into the team. The Doctor knows it's unwise to wake the Cybermen, but he doesn't stop them from doing it, and even provides a solution to a mathematical code while telling Klieg not to use it.
"Yes, yes, I can see that, but how did you know in the first place?"
"Oh, I use my own special technique."
"Oh, really, Doctor? And may we know what that is?"
"Keeping my eyes open and my mouth shut."
--Klieg and The Doctor, in "Tomb of the Cybermen"
The Doctor does contain the damage. At the end of the story, the tomb is closed once more and the Cybermen again become foil-wrapped popsicles.
This episode also has the Cybermats. They're like giant, scuttling crawfish, only silver, and they are Evil Minions of the Cybermen. Except some of the characters initially find them cute.
The episode takes place shortly after Victoria Waterfield has joined the crew of the TARDIS. Jamie is very protective of her, and Victoria, perhaps because she comes from 1860s England, is accepting of this; but she can act on her own when necessary, as in this episode when she shoots a Cybermat (using Kaftan's gun) or when she runs to the Rocket to get help at a time when it's sorely needed.
"You look very nice in that dress, Victoria."
"Thank you. You don't think it's a bit, uh--"
"A bit short? Oh, I wouldn't worry about that. Look at Jamie's."
--The Doctor and Victoria, in "Tomb of the Cybermen"
The DVD has some commentary which I haven't yet listened to, and a few small featurettes.
More information on the episode.
And more, with some pictures.