This unnamed pavilion is where Weiss and Winter Schnee meet in the episode "Lessons Learned". At the pavilion, they bond over croissants and strawberries. Winter also demonstrates her Summoning ability and tutors Weiss with her Glyphs at the pavilion.
The pavilion is ornate and open to the air, and the walls made are up of two rows of columns and archways through which the sunlight streams in. Vines grow tastefully around the columns, and plants hang down from above and grow in vases. The room is centered around a large fountain with seats and tables at the edges. There is also a water feature of a lion at one end. The surrounding area appears to be a well-tended garden.
Image Gallery - Volume 3
Screenshots - "Lessons Learned".