“She did tell some interesting anecdotes, though.”

You went to a talk last night. You are describing the speaker and the event to a coworker who wasn't there. You were just criticizing the speaker for not being interesting, but you say this because you don't want to sound too negative about the event.

She did tell some interesting anecdotes, though.

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(something) did (happen)

In a normal sentence, you don't include "did" before the verb:

She told some interesting anecdotes.

But when your sentence is contrasting with something else that you just said, you should use the word "did" and place a strong stress on that word when saying it:

I didn't think he was that good-looking. I did like his hair, though.

In the example above, you're contrasting this positive statement about the speaker with your earlier negative statements.

tell an anecdote

An "anecdote" is a story that you tell as part of a speech or a talk. An anecdote usually makes a certain point in an interesting way.

(sentence), though

"Though" is similar to "but" and "however". It is usually used at the end of the sentence in spoken English:

I have a pilot's license. I haven't flown in almost 5 years, though.

In written English, it's more appropriate to use it between clauses:

I have a pilot's license, though I haven't flown in almost 5 years.

"However" can be used in the same way:

I do agree with the Prime Minister on defense, however.

"Though" is more casual than "however", though.