Noodle

This picture was posted on Instagram by Jamie Hewlett, the co-creator and artist of Gorillaz.

Noodle can be seen in this picture using the Telecaster.

".. then she whipped out a Les Paul and played an amazing guitar riff"

Noodle use this guitar on many photos of phase 1 on special, this one

Noodle is seen playing her acoustic guitar in the Feel Good Inc music video https://youtu.be/HyHNuVaZJ-k?t=2m45s and the same guitar appears in more detail in the MTV Cribs video above at 3.55 showing that it is a "Taylor" acoustic guitar and has the same look as a Taylor 314ce-N.

In the artbook for Humanz Noodle is seen using a Squier Telecaster in every picture.

Noodle is seen tuning this guitar in the Humanz art book.

According to the Gorillaz wiki, this is an instrument used by Noodle

According to the Gorillaz wiki, noodle used a blue one of these

Used in the music video for Gorillaz's "Tranz".

Visible in Noodle's room in the Gorillaz app.

Visible in Noodle's room in the Gorillaz app.

Visible in Noodle's room in the Gorillaz app.

Visible in Noodle's room in the Gorillaz app.

Noodle can be seen using the Shamisen in this picture.

"In the live performance of Broken during Escape to Plastic Beach World Tour, a visual animation was used that featured Noodle playing a melodica" -Gorillaz Wikia

Same color and type as seen in the video.