Laura Stewart, 20, was walking on North Hanover Street with her friend Mhairi Convy, 18, when they were hit by a Range Rover on 17 December.
The funeral of Ms Stewart, an accounts student from Cumbernauld, was held at Our Lady and St Helen's Parish Church in her home town.
About 200 people attended the ceremony to pay their respects.
Outside the church floral tributes were laid, including the name "Laura" written out in red and white flowers opposite the word "sister" in purple flowers.
Tributes left with the flowers included a card saying "with all our love for always, mum and dad" and another to a "beautiful" girl who was a "loving friend and sister".
The order of service showed a photo of the student with the words "Courage grows strong at a wound" - the motto of the Stewart clan.
Mourners wept as the white coffin with purple handles was carried out of the church to the hymn Walk With Me Oh My Lord.
Father Gerald Sharkey led the procession out of the church through the snow. The body was then driven to Eastfield Cemetery in Cumbernauld for a private burial.
Ms Stewart and Ms Convy, of Lennoxtown, studied at Glasgow College of Commerce.
Following the crash, the two women were taken to Glasgow Royal Infirmary, where they died.
A 36-year-old male pedestrian and the 50-year-old male driver of the Range Rover were also treated in hospital after the crash.
Strathclyde Police are investigating the deaths.

Sophie Burgess, who was 11 months old, had a seizure on 16 June last year.
She was taken to St Peter's Hospital in Chertsey, and died after an overdose of the anti-seizure drug phenytoin.
Surrey Police asked the Woking coroner to halt the inquest to allow officers to re-examine the case after fresh expert evidence emerged at the hearing.
During the last two months of her life, Sophie suffered a series of seizures triggered by a reaction to infections.
The inquest heard this week that Dr Lojein Hatahet and paediatric consultant Dr Fiona MacCarthy had attempted to administer the anti-seizure drug using an automated syringe-driver.
It failed to work and it was decided Dr Hatahet would administer the drug from a handheld syringe, despite the protests of nurse Polly Leavold, who said the drug was not needed and that giving it by hand was against the hospital's protocol.
A Surrey Police spokesman said the investigation into the circumstances of the baby's death would be re-examined "in light of new expert testimony presented at the coroner's court".
"We are keeping an open mind, and it would be inappropriate to comment further."
Hundreds of mourners gathered for the funeral of a student who died after a 4x4 mounted a kerb in Glasgow.
[NEXT_CONCEPT]
An inquest has been suspended to allow police to reinvestigate the death of a baby girl who died after being given a fatal drug overdose in hospital.