-"700 shares of the Company's Common Stock at a price per share equal to the fair market value per share of the Common Stock on the date of grant, which is the date of your joining,"
Fair market value as on DOJ. You can find out this value from internet or company.
-"25% of the shares subject to the option shall vest 24 months after the date your vesting begins"
Thus 25% of 700 shares should vest with you, as you have completed 24 months.
-"This option grant shall be subject to the terms and conditions of the Company's Stock Option Plan and Stock Option Agreement, including vesting requirements."
Has the company supplied these documents to you, and have you gone thru the terms and conditions and submitted the forms/agreement to company?
-"No right to any stock is earned or accrued until such time that vesting occurs"
Approach the company for getting the shares vested with you.
Companies offer stock option as a policy matter and expects better retention of employees.
Companies also incorporate that their interpretation of the clauses shall be final.
Therefore you may approach the company and obtain the clarity.