〜がてら
while (doing), on the way (two things at once)
Noun (often a する-noun) / Verb ます-stem + がてら
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がてら means doing one thing while taking the chance to do another: 散歩がてら、パンを買ってきた, "I bought some bread while I was out for a walk".
The first part is usually a movement or an outing (散歩, 買い物, 花見, 送る), and the second half is the extra thing achieved along the way. It's like "killing two birds with one stone".
It follows a noun directly or a ます-stem: 駅まで送りがてら, "while seeing them to the station".
It's close to ついでに (N3). がてら is a little more literary, and focuses on the first activity having a second purpose. Compare ながら, which is two actions at literally the same time.
Examples
散歩がてら、パンを買ってきた。
I bought some bread while I was out for a walk.
買い物がてら、駅前を歩いた。
I strolled around the station area while doing some shopping.
花見がてら、公園でお弁当を食べた。
We had a packed lunch in the park while enjoying the cherry blossoms.
駅まで送りがてら、少し話をした。
While seeing them to the station, we chatted a little.
運動がてら、自転車で通勤している。
I cycle to work, partly for the exercise.