'will gladly provide' is a correct and usable part of a sentence in written English.
You can use it to offer assistance to someone or to express a willingness to do something. For example: "If you need any help, I will gladly provide it."
Utilities or electrical contractors will gladly provide a free survey and recommendations.
There is no mileage in thinking voters will gladly provide extra tax money if politicians can get their sticky fingers on it.
This gives you another opportunity to ask for additional contacts, something they will gladly provide given how professionally you handled the first referral.
And again, if a "speaker maintains that the great thing about him is that he has never been in anxiety, I will gladly provide him with my explanation: that is because he is very spiritless.
I will gladly provide all these services, while recording everything you do and sharing this information with random unscrupulous strangers, if you or any of your friends has ever succumbed to the desire to take a personality quiz.
Being questioned by airport security as to where I am traveling to, for what purpose and to visit whom, as is the case for travelers in security-intense Israel, is also a rational and reasonable screening method, and I will gladly provide the requested answers.
Manuscripts and related correspondence can be sent to the Series' Editorial Office, which will also gladly provide more information concerning editorial standards and procedures.
Then she will gladly leave.
Our culture will gladly allow you to be both.
"The small, independent producers were very willing to cooperate and gladly provided assistance, often at their expense," he says.
The company gladly provides tuition "to further their employees' education.
