Set up Sentry to monitor API performance

[nichhk]

Overview

We need to monitor API performance since our website is quite slow, and we want to track how well our improvements are working. See #1307 for example.

We already use Sentry on the front and backend, but it's only set up to trace errors right now.

Action Items

• [ ] Ensure that we can continue to use Sentry for free. If not, determine its cost and weigh against competitors.
• [ ] Set up performance monitoring

Resources/Instructions

Log into our Sentry account with the credentials in 1Password