Relevant section (emphasis mine):
(b) Collection Of Information.—Notwithstanding any other provision of law, the collection of information about the manifested disease or disorder of a family member shall not be considered an unlawful acquisition of genetic information with respect to another family member as part of a workplace wellness program described in paragraph (1) or (2) offered by an employer (or in conjunction with an employer-sponsored health plan described in section 2705(j) of the Public Health Service Act (42 U.S.C. 300gg–4(j))) and shall not violate title I or title II of the Genetic Information Nondiscrimination Act of 2008 (Public Law 110–233). For purposes of the preceding sentence, the term “family member” has the meaning given such term in section 201 of the Genetic Information Nondiscrimination Act (Public Law 110–233).
This doesn't seem to be making massive headlines in any of the major outlets, I'm not sure why. Or maybe I'm just searching wrong. Least biased article I could find...? Snopes
TL;DR - Workplaces can "require" employees to submit to DNA/Genetic testing. It is not mandatory, but workers can be penalized (or, "fail to receive incentives" if you want to quibble over syntax) if they refuse to participate.
[strike]This passed committee along party lines (22 R for, 17 D against).[/strike] Edit: Not sure where I saw this, when I look at the bill, all I see is "Referred to committee", I apologize (a) if this is incorrect and (b) that I can't find strikethrough tags...
I don't think this could possibly pass, but it's pretty appalling that it's a thing at all. I won't pretend to understand exactly how this interacts with all the other Acts and Laws cited, maybe it's much ado about nothing.