Hi
There are generally no Income Tax implications on the giving of or receipt of a cash gift unless the cash gift generates interest or dividends. These would then potentially be subject to tax. Further guidance can be found here Tax on savings interest:
Tax on savings interest
Tax on dividends:
Tax on dividends
Inheritance Tax is only due when a person's estate is worth over £325,000 when they die, or if the person who died gave away more than £325,000 in gifts in the 7 years before they died.
The rules on giving gifts can be found here:
How Inheritance Tax works: thresholds, rules and allowances
You may also want to review the guidance at:
How Inheritance Tax works: thresholds, rules and allowances