The motorist received a Â£100 fine and three points on their licence.
Dorset Police said when the driver was stopped he said: "I was trying to find that new Sam Smith song on You tube because I didn't have it on my phone."
The singer has released the song Writing's On The Wall as the theme to the new James Bond film Spectre.
Officers were carrying out checks on traffic offences on Thursday and stopped vehicles which had no insurance as well as others breaking the speed limit.
Spectre sees Daniel Craig return as British spy James Bond, aka 007, in a globe-trotting blockbuster named after a sinister criminal syndicate.
Two-time Oscar winner Christoph Waltz, French actress Lea Seydoux and Italy's Monica Bellucci also appear in the 24th official entry in the long-running series.

Australia's foreign minister said these were "not the actions of a friend".
The UK took similar action in March, after concluding that Israel was responsible for the use of forged UK passports in the plot.
The Israeli foreign ministry said Australia's decision was disappointing.
Ministry spokesman Yigal Palmor said it was "not in line with the importance and the quality of the relationship between our countries".
At least four forged Australian passports were used in the killing of Mahmoud al-Mabhouh in Dubai in January. The originals belonged to Australians living in Israel.
The Australian government said a police investigation had left it in no doubt that the Israeli authorities were behind "the abuse and counterfeiting of the passports".
As a result Foreign Minister Stephen Smith asked Israel to withdraw a diplomat, whom he did not identify
"The decision to ask Israel to remove from Australia one of its officers at the Israeli embassy in Canberra is not something which fills the Australian government with any joy," he said.
"On the contrary, the decision was made much more in sorrow than in anger."
Passports from France, Ireland, Germany and Britain were used in the operation, and in March, the British government expelled an Israeli diplomat from London.
The Israeli government has said there is no proof that it was behind the killing, although Dubai officials have said they are 99.9% sure that agents from Mossad were responsible.
A driver stopped for using his mobile phone told police he was trying to find the new Sam Smith song on YouTube.
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Australia has expelled an Israeli diplomat saying Israel was behind the forging of Australian passports linked to the murder of a Hamas operative in Dubai.