The country's first private sexual health clinic opened on Thursday amid protests, as some claim there is no demand for terminations in Northern Ireland.
"It is appropriate for this Committee to assure itself, and the public, that this private clinic will scrupulously follow the law," Paul Givan, DUP chair of the committee, said.
It follows a call from the Attorney General for the committee to look into the practices of the new facility.
John Larkin QC made the request stating that he could only offer advice, act as counsel and interview witnesses in a non-statutory role as guardian of the rule of law.
Hundreds of pro-life campaigners - many carrying placards bearing graphic images of aborted babies - gathered outside the building ahead of the clinic's official opening.
A small number of pro-choice campaigners also demonstrated, but most groups had agreed not to out of respect for those using the clinic.
The facility will provide a range of services, including ultrasound scans, smear tests, STI and HIV testing and contraceptive options.
A woman can opt to pay for an abortion at the clinic if the strictly controlled laws surrounding termination are met - the mother's life or mental health must be deemed to be at serious risk by two doctors.
Some groups are protesting and, whilst we respect their right to do so, we hope they too will respect an individual's sexual and reproductive health rights, and a woman's right to choose.
Dawn Purvis, the former Progressive Unionist Party leader who is director of the new clinic, said she looked forward to welcoming people into the centre.
"Anyone coming to us can be assured that we fully respect their privacy and our dedicated healthcare team will provide them with confidential, sensitive and non-judgemental care," she said.
"The level of support Marie Stopes International has received over the past week has been truly inspiring - we have been inundated with messages of support."
Tracey McNeill, vice-president and director of Marie Stopes UK and Europe, said the organisation would not break the law.
"We are clear about the law here. The team here are all from Northern Ireland - we understand the culture here. We don't want to change the culture here and have abortion on demand. This is about offering choice," she said.
Only medical terminations will be carried out and only up to nine weeks' gestation, and the clinic will provide counselling as part of its aftercare. It costs £80 for a consultation and £350 for the procedure.
A spokesperson for the Marie Stopes clinic said it has been "inundated" with people who want to use its services.
Bernadette Smyth from the Precious Life group joined pro-life campaigners who said prayers and sang hymns outside the building where the clinic is based.
In Northern Ireland, people are so opposed to abortion that they actively want to come here today to send out a clear message to Marie Stopes and to the government that they do not want abortion here.
She said she wants to see an end to terminations, which she described as "violent and graphic".
"There's no will here from the people of Northern Ireland to introduce any of or abortion here," she added.
"Abortion has lost all meaning in some areas, for example in the UK, it becomes the norm. In Northern Ireland it's not the norm."
On the day of the clinic's opening, sixth form pupils at a grammar school in Co Londonderry gave up their lunchtime to pray for the facility to be closed.
"Our pupils felt that they had to stand up and let their voice be heard about this situation. They felt that the innocent voice of the child was not being heard," principal Deirdre Gillespie said.
"A number of younger children in the school - year 11 and year 12 - now also want to get involved, so much so that the rota that the put in place for this lunchtime rosary and novena is oversubscribed hugely."