In the new version, the search snippet includes contextual links right into the precise section of the page they think is relevant to your search. If there are several relevant subtopics, they will all be linked beneath the search result for more precise access to the information you're looking for.
The second addition accompanies more specific queries and adds a "Jump to X" link as the very first element of the search snippet. Again, the idea is to send you more quickly and directly to exactly the information you were looking for in your query.
To us, this smells similar to what Microsoft is trying to do with Bing's Instant Answers feature, designed to pull in pertinent information on specific queries right into your search results. Google's version is still a step removed -- you have to click further into a search snippet to get at the actual information -- but it's a similar general strategy in terms of delivering more precise results on an initial query.