Some values and concepts for Dungeons & Dragons 5th Edition:

Suggested Name: Willow "Stardust" Fimblewick
Race: Woodland Gnome
Class: Wizard
Level: 1 (You can adjust this based on your campaign)
Skill Values (Example, using the Standard Array method):

Strength: 8 (-1)
Dexterity: 14 (+2)
Constitution: 13 (+1)
Intelligence: 15 (+2 racial = 17 (+3)) - This is your primary skill!
Wisdom: 12 (+1)
Charisma: 10 (+0)

Woodland Gnome Racial Traits:

Ability Score Increase: Your Dexterity increases by 1. Your Intelligence increases by 2.
Speed: 25 ft.
Darkvision: You can see in dim light up to 60 feet as if it were bright light, and in darkness as if it were dim light.
Gnomish Cunning: You have advantage on all Intelligence, Wisdom, and Charisma saving throws against magic.
Minor Illusion: You know the Minor Illusion cantrip. Intelligence is your magical ability for it.
Speak with Small Beasts: Through sounds and gestures, you can communicate simple ideas to small beasts such as squirrels, badgers, birds, or moles.

Class Features (Wizard):

Hit Points: 6 (1d6 + Constitution modifier) at 1st Level.
Proficiencies:
Armor: None
Weapons: Daggers, darts, slings, staves, light crossbows
Tools: None
Saving Throws: Intelligence, Wisdom
Skills: Choose two from Arcana, History, Insight, Investigation, Medicine, or Religion. (Suggestion: Arcana, Investigation.)
Starting Equipment:
A staff
A reagent pouch or arcane focus (the model's staff could be a focus)
A spellbook
A scholar's pack
Two daggers
Spellcasting: You use Intelligence as your magical ability. Your spell save DC is 8 + your proficiency bonus + your Intelligence modifier. Your spell attack bonus is your proficiency bonus + your Intelligence modifier.
Spellbook: You start with 6 1st-Level wizard spells in your spellbook.
Prepare Spells: You can prepare a number of spells equal to your Wizard level + your Intelligence modifier.
Spell Slots: At 1st Level, you have two 1st-Level spell slots.
Arcane Recovery: Once per day when you finish a short rest, you may select expended spell slots to recover. Spell slots can have a sum of levels equal to half your Wizard level (rounded up).

Skills (with your example values):

Acrobatics (Dex): +2
Arcana (Int): +5 (Proficient)
Athletics (Str): -1
Deception (Cha): +0
History (Int): +3
Insight (Wis): +1
Intimidation (Cha): +0
Investigation (Int): +5 (Proficient)
Medicine (Wis): +1
Nature (Int): +3
Perception (Wis): +1
Performance (Cha): +0
Persuasion (Cha): +0
Religion (Int): +3
Sleight of Hand (Dex): +2
Stealth (Dex): +2
Survival (Wis): +1

Spells (Suggestions for a Level 1 Wizard):

Cantrips (You Know 3):
Minor Illusion (racial)
Light (a gnome wizard often has a warm aura)
Firebolt (for damage)
Hand of Wizard (utility)
1st Level Spells (6 in your spellbook):
Wizard Shield (essential defense)
Magic Missile (reliable damage)
Disguise Self (fun and useful for a gnome)
Sleep (low-level crowd control)
Language Comprehension (research utility)
Detect Magic (critical for a wizard)

Background (Suggested: Sage/Scholar):

Skill Proficiencies: Arcana, History.
Languages: Choose two additional languages (perhaps Elvish and Draconic).
Equipment: A small book on a subject of your choice, a bag of sand, a common robe, 10 gp.
Trait: Investigator: When trying to learn or remember a piece of lore, if you don't know the information, know where or from whom you could learn it.

Suggested Personality Traits:

Personality: "I tend to ramble and go off on a tangent when discussing my favorite subject." or "I prefer the smell of old books and magic to any perfume or flower."
Ideal: "Knowledge. The path to power and self-improvement is through knowledge."
Bond: "An ancient tome of magic that holds the key to a great mystery is my most valuable possession."
Flaw: "My ramblings are too complicated for ordinary people, and sometimes my experiments have unexpected consequences." or "I am easily distracted by new ideas or discoveries."