I’m not sure I understand the “side business”. You already have a business. You’ll likely get a 1099 for the grant. Any other income can be reported as sole proprietor income alongside that. You can deduct any appropriate expenses used for business.
You may want to clearly establish that the equipment was purchased for business and not a hobby. https://www.irs.gov/newsroom/heres-how-to-tell-the-difference-between-a-hobby-and-a-business-for-tax-purposes
Grants generally aren’t special income, its just regular taxable 1099 income. There are no special grant taxes.
https://www.irs.gov/charities-non-profits/private-foundations/grants-to-individuals