Since your profile says you are in London I am going to assume that it's the network where you work that has blocked these services. Since you would be breaking company policy, you might lose your job, just be aware of that.
I have gotten around some restrictions where I work by using a different top-domain, for example using google.se instead of google.com and the likes. It will work sometimes, not all the time. For email and online dating sites I usually use my phone, it's completely separate from the company network and outside of their control.
However for gmail, what you could do is to find a web based e-mail provider that isn't blocked (perhaps easier said than done) and then use imap to connect to your email account. It's not an ideal workaround, but still a phone with an email client is still probably your best solution.
And depending on where you are in the city, perhaps there is an wifi-hotspot in your vicinity and can use that with your phone.
12Please note that if you try to bypass e.g. the firewall of your company, you might break internal rules and lose your job. – Frank Meulenaar – 2012-12-02T13:28:05.547