Many of the 109 new MPs won in areas traditionally held by Labour inThursday's election, which saw the Conservatives gain an 80-seat majority.
Their first job will be to vote on the Withdrawal Agreement Bill that the PMintends to bring back before Christmas.
Mr Johnson is also expected to carry out a mini cabinet reshuffle.
He needs to fill posts made vacant by those who stood down ahead of thegeneral election, including the culture and welsh secretary posts.
The Queen will formally open Parliament on Thursday when she sets out thegovernment's legislative programme.
It is thought the Withdrawal Agreement Bill (WAB) on leaving the EU could beput before MPs as early as Friday.
Ahead of the private speech, a Number 10 source said: "The PM has beenvery clear that we have a responsibility to deliver a better future for ourcountry and that we must repay the public's trust by getting Brexit done.
"That's why the first piece of legislation new MPs will vote on will bethe Withdrawal Agreement Bill."
With the large majority, the bill is expected to pass through Parliament intime to meet Boris Johnson's promise for the UK to leave the EU on 31 January.
Mr Johnson then has to negotiate a new trade agreement with the EU and haveit ratified before the end of the post-Brexit transition period that ends on 31December 2020. He has repeatedly said that the transition period will not be extended.
The Queen's speech is also expected to include legislation linked to pledgesmade during the election campaign - most notably a guarantee on NHS funding.
Moves to get the Northern Ireland government at Stormont up and runningagain are also expected, with talks resuming before Christmas.--- bbc.com