When I go to upwork.com the page loads. However, when I click the login button it gets stuck loading.
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Try clearing the cache and app data. Go to settings --> app manager and find google chrome. Then force stop google chrome and try again.
Try installing Google Chrome Beta (Could be a bug in the current version)
As @TamoghnaChowdhury said, it could also be a website or internet problem if it doesn't load on other phones.