The web browser can be accessed via a URL specific to your organisation, and which should have been provided to you during your TE Training.
Accessing that URL will present the following screen:
Entering your User ID and password for the TE domain controller and click on the Log On button.
You will be presented with the TE Web UI main screen:
Some of the key processes available in the TE Windows GUI is replicated in the Web UI, specifically around TE Approvals and Testing.