The straw purchase section (932)v says:
It shall be unlawful for any person to knowingly purchase, or conspire to purchase, any firearm in or otherwise affecting interstate or foreign commerce for, on behalf of, or at the request or demand of any other person, knowing or having possible cause to believe that such other person” is prohibited from making the purchase for themselves.
Straw purchases were banned long before the Senate’s bipartisan agreement was announced.
ATF form 4473, the paper portion of a firearm purchase background check, uses question one to make clear that straw purchases are allowable.
Question one, form 4473, asks:
Are you the actual transferee/buyer of the firearm(s) listed on this form and any continuation sheet(s) (ATF Form 5300.9A)? Warning: You are not the actual transferee/buyer if you are acquiring the firearm(s) on behalf of another person. If you are not the actual transferee/buyer, the licensee cannot transfer the firearm(s) to you.
The trafficking section (933) of the Senate gun control deal is much the same, in that it presents a penalty for selling guns to individuals who are otherwise barred from having them.