Investment gift from family

I have an e-commerce site that is outdated and suffered this past year. A family member gave me a cash gift of 5k to inject some life back into it. Going to use the money to redesign and do some advertising..

My question is, being that it's not my earned money, can I still write off what I use it for expense-wise? Say I use 1k of it for redesigning, can I write off that 1k? Or should I just not write off 5k worth of my yearly expenses?