This is, of course, aimed at the vanishingly-small subset of people who even notice the How to Ask sidebar. It's amazing what tunnel-vision people have.
For that small set, I think we need to avoid TL;DR. Also, we don't want to call out Google specifically (there's Duck Duck Go, and Bing, and...). So I'd suggest something like this:
Image may be NSFW.
Clik here to view.
Note the link to /help/mcve (and "on-site search" links to /search).
If we wanted to over-engineer (and I don't, see some excellent points in the comments), "on-site search" and "web search engine" could be non-bold links. "on-site search" would put the focus in the search box, copy the title there, and show an arrow pointing at it. "web search engine" would show links that would search on the question title on (say) the top eight search engines. But it seems over-engineered, and as 5gon12eder points out, could suggest that that search alone was sufficient, when of course it isn't.
As text:
How to Ask
Is your question about programming?
We prefer questions that can be answered, not just discussed.
Search first, using on-site search or a web search engine.
If asking about code, include the minimum complete code to demonstrate the issue in the question (not just linked!).
Provide details. Share your research.
If your question is about this website, ask it on meta instead.
As HTML:
<div class="module newuser sidebar-help" id="how-to-title"><h4>How to Ask</h4><p><b>Is your question about programming?</b></p><p>We prefer questions that can be <i>answered</i>, not just discussed.</p><p><b>Search first</b>, using <a href="/search">on-site search</a> or a web search engine.</p><p>If asking about code, include the <b><a href="/help/mcve">minimum complete code</a></b> to demonstrate the issue <b>in the question</b> (not just linked!).<p>Provide details. Share your research.</p><p>If your question is about this website, <b><a href="http://meta.stackoverflow.com">ask it on meta</a></b> instead.</p><p class="ar"><a href="/help">visit the help center »</a><br><a href="/help/how-to-ask">asking help »</a></p></div>