The Mathura Museum is a great place to begin your exploration of the city. It houses a vast collection of artifacts from various periods, including the Mathura School of Art, the Gandhara School of Art, and the Gupta period. The museum's vast collection of sculptures and antiquities offers a glimpse of the city's rich cultural heritage.
The Banke Bihari Temple is a significant religious site for the worshippers of Lord Krishna. The temple's architecture is beautiful, and inside, you'll find a stunning statue of Lord Krishna, adorned with jewelry and clothes. The temple also has a majestic atmosphere, with the chanting of holy mantras and the ringing of bells.
If you have a little more time, you could visit other temples in Vrindavan like Prem Mandir or ISKCON temple. If you have less time on hand, you can skip the Mathura Museum or visit it for a shorter amount of time. Another alternative that you can consider is visiting the Kesi Ghat, where Lord Krishna is believed to have played his flute. For travelers who are interested in history or archeology, visiting the ancient city of Agra could be considered too.