I’m definitely not a legal expert, but the proposed law specifically says:
g) Protection Of Privacy.—Nothing in this section shall be construed to require a provider to—
“(1) monitor any user, subscriber, or customer of that provider;
“(2) monitor the content of any communication of any person described in paragraph (1); or
“(3) affirmatively search, screen, or scan for facts or circumstances described in subsections (b) and (c).
It seems like the goal is to make it so that when people complain to websites about specific instances of illegal conduct, the website is not allowed to ignore the complaint.
[1] https://www.congress.gov/bill/118th-congress/senate-bill/108...