The first thing that need to be done is to add "Add a Page Element" in the Header section and the post section of the blog Layout. Refer to the following posts for these:
Adding graphic, AdSense ads, etc to your New Blogger (formerly Blogger Beta) blog Header
New Blogger (formerly Blogger Beta): How to add AdSense ads, searchbar, "sticky post", etc. to your blog
Adding AdSense Ad units, link units or searchbar to the blog HeaderFirst generate the script for your Ad unit, link unit or searchbar in your AdSense Account. Then sign into Blogger Dashboard, select the blog and click LAYOUT. See screenshot below. Click to enlarge:
If you want another page element to contain, for example the link unit, just repeat the process.
BTW, you can actually incorporate both scripts into the same HTML/Javasscript Page Element if you wish.